Asvab AR

Question 1

A barista averages making 16 coffees per hour. At this rate, how many hours will it take until she’s made 1,200 coffees?

Answer 1

75 hours

Explanation:
To solve the problem, simply multiply the desired number of cups with the rate:

The rate is 1 hour/16 cups of coffee

1200 cups of coffee x (1 hour/16 cups of coffee) = 1200 x (1/16) =1200/16=75

The answer is 75 hours

Question 2

Camille uses a 20% off coupon when buying a sweater that costs $47.99. If she also pays 6% sales tax on the purchase, how much does she pay?

Answer 2

$40.69

Explanation:
First, compute the price of the sweater after the discount:

Discounted price of the sweater = (100%-20%)($47.99)= 80%($47.99)

= .80(47.99) = $38.39

Second, add the sales tax:

Total amount paid = $38.39 + $38.39(6%) = 38.39 + 38.39(.06)

= 38.39 + 2.30 = $40.69

Question 3

At Michael’s smoothie shop smoothies cost $3.50 during the week and $4.00 on weekends. If Jonathan bought a smoothie every day except Saturday how much did he spend on smoothies that week?

Answer 3

$21.50

Explanation:
Compute the total amount paid for smoothies bought from Monday to Friday (5 days) at $3.50/smoothie:

5 x $3.50 = $17.50

Add this to the amount paid for the smoothie bought on Sunday at $4.00/smoothie:

$17.50 + $4.00 = $21.50

Question 4

In a classroom of 32 students, 14 are male. What percentage of the class is female?

Answer 4

56%

Explanation:
First, solve how many females are in the class:

Number of females = 32 - 14 = 18

To compute for the percentage of females in the class:

Percentage = (18/32)(100%) = 56.25% = 56%

Question 5

Cory’s average score after 8 tests is 91%. If he gets a 78% on his 9th test what will his new average be?

Answer 5

89.5%

Explanation:
The formula for average is:

Average = (sum of all values given)/the number of all values given
For the 8 tests, the average is presented as:

91 = (sum of all scores from the 1st-8th tests)/8

Sum of all scores from the 1st-8th tests = (91)(8)= 728
To get new average after the 9th test, use the same formula above:

Average = (728 + 78)/9 = 806/9 = 89.5%

Question 6

Julie gives 7 pieces of candy to each of her friends. If Julie gives all of her candy away, which amount of candy could have been the amount she distributed- 161,162, 145, or 128?

Answer 6

161

Explanation:
The problem states that all of Julie’s friends received 7 pieces each. There is no mention about the number of friends Julie gave the candies to. But no matter how many friends Julie gave the candies to, the total number of candies she has given away must be divisible by 7. There is no other way to solve the problem but try each given choice and pick one that is divisible by 7 and results to a whole number.

161/7 = 23

128/7 = 18.28

145/7 = 20.71

162/7 = 23.14

Therefore, the answer is 161 candies (distributed to 23 friends with 7 candies each)

Question 7

Four out of 28 students had to take summer school. What is the ratio of students who did not have to take summer school expressed in it’s lowest terms?

Answer 7

6/7

Explanation:
Solve for the number of students who did not have to take summer school:

28 – 4 = 24
To express this as a ratio, simply treat 24 as the numerator and 28 as denominator:

24/28 = 6/7
Divide both numerator and denominator by 4 to reduce the ratio or fraction to the lowest terms.

TIP: When reducing a fraction to its lowest terms, choose the biggest common number that can be used to divide both numbers. In this case, it is 4 because 24 can be divided by 4, and 28 can be divided by 4.

Question 8

If doughnuts are usually 75 cents each, but there is a sale on Friday advertising them as 1+ ½ dozen for $10.80, what is the new cost for just one?

Answer 8

60 cents

Explanation:
Compute how many doughnuts are there in 1+½ dozen:

1 dozen = 12

1(12) + ½(12) = 12 + 6 = 18 doughnuts
If 18 doughnuts cost $10.80, compute for the cost of each doughnut:

$10.80/18 = $0.60 per doughnut
The answer, therefore, is $0.60 or 60 cents

Question 9

A cross country coach just announced that by the end of the quarter all students should run the 10 miles in less than 70 minutes. There are 15 students in the group. 6 of them ran the 10 miles in 1 hour + 5 minutes. 4 of them ran 10 miles in 1 hour +3 minutes. 2 of them ran it 10 miles 1 hour + 9 minutes. 3 of them ran 10 miles in 1 hour and 10 minutes. How many students made the goal?

Answer 9

12

Explanation:
Express 70 minutes in the form of hours + minutes since most of the figures given were in that form, hence:

70 minutes = 60 minutes + 10 minutes = 1 hour + 10 minutes

This means that for students to pass, they must run the 10-mile distance in less than this time set by the coach. Checking the students’ time one by one, only 3 out of 15 students were not able to run the 10 miles in less than 1 hour + 10 minutes.

15-3 = 12 students made the goal

Question 10

You just went on a blind date and wanted to impress the girl by adding an 18% tip to the total cost of the meal. Two dinners came to a total of $35.90. Desserts cost $7.50 and beverages cost $6.60. What is the 18% tip going to cost?

Answer 10

$9

Explanation:
Add all the courses to get the total cost of the meal:

Total cost = 35.90 + 7.50 + 6.60 = 50
Get 18% of the total, to compute the tip to be paid:

50(18%) = 50(.18) = $9

Question 11

You are asked to buy bags of cement to pour a cement pad for a hot tub. You need to fill the pad frame which is a square frame measuring 8 feet long and 1 foot high. Each bag of cement mixed will fill 5 cubic feet in the frame. How many bags will you need to buy to ensure enough to fill the entire frame?

Answer 11

13 bags

Explanation:
The formula for volume or capacity is:

V = LWH where L is length, W is width, and H is height
For a square-shaped base, L = W

V = LLH
Compute for the volume to be filled up:

V = (8)(8)(1) = 64 cubic feet
Compute how many bags will be needed if 1 bag can fill 5 cubic feet of volume:

Number of bags = 64/5 = 12.8 round off to 13 bags of cement
TIP: How will you know when to use the formula for volume, V=lWH, when the problem has not specifically asked for the volume? Values given in cubic units, such as 5 cubic feet, indicate that you will be dealing with volume or capacity. Take note, however, that formulas for volume vary with shape. V=LWH works only for square solids (called cube) or rectangular solids.

Question 12

You are asked to chart the weather during an 8 hour period to give the average. The following are you results:

7am : -10 degrees

8am: 0 degrees

9 am: 30 degrees

10 am: 36 degrees

11 am: 40 degrees

12 pm: 42 degrees

1pm: 42 degrees

2 pm: 41 degrees

What is the average?

Answer 12

About 28 degrees

Explanation:
To find the average you need to add all of the values given and divide the total by the number of recordings made (8). Note that the first entry is a minus degree.

Average temperature = (-10 + 0 + 30 + 36 + 40 + 42 + 42 + 41)/8 = 221/8 = 27.62

Therefore, “about 28 degrees” is the correct answer.

Question 13

Your uncle died and left you and your siblings his private property. He owned a 180 acre ranch and there are 3 of you. Each acre is valued at approximately $3,000. This means the monetary value for each sibling will be:

Answer 13

$180000

Explanation:
First you need to find out how many acres each sibling gets.

180 acres divided between 3 siblings = 60 acres per sibling.

Each acre is worth $3,000 so then you need to multiply 60 x $3,000, which gives you $180,000.

Question 14

You are planning your vacation and trying to figure out the total number of miles you will be traveling on a round trip from Portland, Oregon to Denver, Colorado. The scale for the map you are consulting shows that 1 inch = 4 miles. Measuring, you find that you will be traveling 314 +1/2 inches for the one-way trip. What is the total amount of miles you will be traveling?

Answer 14

2,516 miles

Explanation:
The easiest way to solve when computing problems of this type is to rewrite the statement in an equation form. On one side of the equation is the fraction of 4 miles per 1 inch. On the other side is the fraction of the unknown miles travelled per the measured inches.

Take note that all the mile values are written as numerators and all the inch values are written as denominators.

Miles travelled/314.5 inches = 4 miles/1 inch

Miles travelled = 4 x 314.5 = 1258 miles

For the round-trip distance, multiply the 1-way distance by 2:

1258 x 2 = 2516 miles

Question 15

Pete and his partner Mike made a huge profit in their software business together this year and have decided to use $20,000 of the profit for a Christmas donation to their favorite charities. Using the investment ratio each of them contributed to starting the business, Pete invested the most with 4:1 ratio to Mike. How much money will Mike get to donate to his charity?

Answer 15

$4000

Explanation:
The $20,000 donation is to be shared between Pete and Mike in the ratio proportionate to their investments, which is 4 is to 1.

Pete’s counterpart will be represented as 4/5, while Mike’s counterpart will be 1/5, making a whole of 5/5.

Computing for Mike’s counterpart to the total donation of $20,000:

$20,000 x 1/5 = $4,000

Question 16

What is the SIXTH number in the series: 3, 6, 12, 24?

Answer 16

96

Explanation:
The correct answer is 96. The first step is figuring out the pattern in the series, which is that each number is doubled to create the next number. Since you are asked to give the SIXTH number, you need to determine the fifth number first:

Double 24 = 2 x 24 = 48 This is the fifth number.

Double 48 = 2 x 48 = 96 This is the sixth number.

Question 17

At boarding school, students spend 1/4 of their time eating and sleeping, 3/5 of their time in class, and 1/12 studying. The rest of the time is considered free time, which the student can spend doing activities of their own choosing. What fraction is considered free time?

Answer 17

1/15

Explanation:
First you need to find a common denominator for these fractions. The common denominated for 4, 5, and 12 is 60. The fractions convert accordingly to: 15/60, 36/60, 5/60.

Now add these three fractions:

15/60 + 36/60 + 5/60 = 56/60.

Compute for the time left by subtracting 56/60 from the fraction representing the whole day 60/60:

60/60 - 56/60 = 4/60 = 1/15 (Reduced to the lowest terms)

Question 18

You just priced what it would cost to buy vinyl floor tiles at the local tile store. They quoted you $3.29 per tile. When you went home you found the same exact title for sale at an online outlet for $2.89 per tile. As a percentage, how much more expensive is the tile store’s quote?

Answer 18

The carpet store’s price costs about 14% more than the online outlet store.

Explanation:
To compute how many per cent higher is the price from the local tile store than the online price quotation, follow the formula given below:

(Higher price – Lower price)/Lower price = (3.29–2.89)/2.89 = .4/2.89 = .14
Express the answer in percentage form:

.14 x 100% = 14%
TIP: If you are not comfortable memorizing formulas, simply get the difference or increase then divide the answer by the lower number.

(3.29-2.89)/2.89 = .4/2.89 = .14
If the problem asks for the percentage, simply multiply by 100.

.14 x 100 = 14%

Question 19

Susan went to the Spa and got a manicure for $25.00, a pedicure for $28.75 and a massage for $60. She tipped a total of $8.50. What is the total Susan spent at the Spa?

Answer 19

$122.25

Explanation:
Simply add all the amounts. $25 + $28.75 + $60 + $8.50 = $122.25

Question 20

Steve is mailing a small package. Postage rates are: $.46 cents for the first ounce and an extra $.20 cents for each additional ounce. The UPS store is offering a special for $3.45 on a small box if your items fit, the weight not being a factor. Which of the following weights would make it cheaper for Steve to ship his package by UPS rather than the post office?

Answer 20

16 ounces or higher

Explanation:
Compute the maximum weight of the package that can be mailed via the post office at the postage cost of $3.45.

3. 45-.46 = $2.99 amount paid for the additional weight after the 1st ounce
4. 99/.20 = 14.95 ounces weight in excess of 1 ounce

Total weight of the package = 1 + 14.95 = 15.95 ounces

Hence, 15.95 ounces is the maximum weight of a package that can be sent through the post office at the cost of $3.45. At this weight, the cost of sending through the post office and the UPS store will be equal.

At 16 ounces, the cost via post office is $3.46 and goes higher by the weight. Hence, at this weight and higher, it will be cheaper to send the package through UPS.

Question 21

Mike’s motorcycle stalled at the beach and he called the towing company. They charged him $4.75 per mile for the first 25 miles and then $5.25 per mile for each mile over 25. Mike was 29 miles from the motorcycle repair shop. How much was Mike’s towing bill?

Answer 21

$139.75

Explanation:
Amount paid for towing = (25 x 4.75) + (4 x 5.25) = 118.75 + 21 = 139.75

Question 22

The sum of two numbers is 84. One number is 6 more than the other. What is the smaller of the two numbers?

Answer 22

39

Explanation:
Let “x” be the smaller number

x+6 = the bigger number

The sum of the smaller and the bigger number is 84, hence:

x + (x+6) = 84

2x + 6 = 84

2x = 84 - 6 = 78

x = 78/2 = 39

Question 23

The grocery store orders ibuprofen in bottles by the gross. The first day after stocking the shelves with a new shipment they sold 5 bottles. The next day they sold 8 and the third day, 7. How many bottles remain from the original order?

Answer 23

124

Explanation:
Gross is defined as a dozen dozens. This means that 1 gross = 12 dozens = 12x12= 144

Solving the problem then:

Remaining bottles = 144 – (5 + 8 + 7) = 124

Question 24

Cindy’s test scores on her first five finals were: 90, 92, 98, 96, and 94. In order for Cindy to keep her scholarship she needs to maintain a finals’ average of 94 or higher. Which of the following scores will guarantee her average of 94 or higher?

Answer 24

96

Explanation:
The formula for average is:

Average = (sum of all values given)/the number of all values given
Let “S” be the score Cindy needs to guarantee her an average of 94

Use the formula above:

94 = (90 + 92 + 98 + 96 + 94 + S)/6

94 x 6 = 470 + S

564 = 470 + S

S = 564 – 470 = 94
Her score should at least be 94 to get an average of 94. Any answer equal or higher than 94 would be correct. From the choices given, the best answer would be 96.

Question 25

A waiter earns $11.00 an hour and approximately 10% of what he serves in a shift. If he works a 6 hour shift and takes $425 in orders, his total earnings for the six hours would be:

Answer 25

$108.50

Explanation:
The waiter earns by adding his wage for 6 hours and his tip.

Wage earned for 6 hours = 6 x $11 = $66

Tip earned from orders = 10% x $425 = 0.10 x $425 = $42.50

Total earnings of the waiter = 66 + 42.5 = $108.50

Question 26

How many square feet of tile is needed for a 24 foot x 24 foot room?

Answer 26

576 square feet

Explanation:
The surface area of flat space shaped either as square or rectangle is computed using the following formula:

A = Length x Width

A = 24 ft x 24 ft = 576 square feet
TIP: The problem did not as specifically for “area”, so how will you know when to use the formula for area? Easy! Only areas use “square units”, such as square feet, square meters, square inch, and so forth. Therefore, when a problem asks you “how many square feet of tiles” will be needed, it actually asks for the area coverable by the tiles, which in this case is the floor area of the room.

Question 27

John is going to Scotch guard his carpeting which is 18 foot x 24 foot. The rate is $.57 cents per square foot to apply. John’s total cost will be:

Answer 27

$246.24

Explanation:
First, compute for the area of the surface: A = Length x Width A = 18 ft x 24 ft = 432 square feet Next, compute for the cost of carpeting the area at the rate given Cost = 432 square feet x $.57 per square foot Cost = $246.24

Question 28

A pen factory has a monthly overhead of $5,000. It costs them 21 cents to make a pen and they turn around and sell each pen for 99 cents. How many pens will they need to sell each month in order to start making a profit?

Answer 28

6411

Explanation:
Profit occurs when Sales – (Cost + Overhead) result to a positive number.

Otherwise, the business is considered to have incurred a loss.

Profit or Loss = Sales-(Cost + Overhead)

From this formula, it is obvious that for profit to occur (or for the result to be positive), Sales must have a greater value than the combined Cost of manufacturing + Overhead;

Hence, the condition must be:

Sales > Cost of manufacturing + Overhead

Let “x” be the number of pens needed to be sold per month

Sales = x (.99) = .99x

Cost of manufacturing = x (.21) = .21x
Going back to the condition above:

Sales > Cost of manufacturing + Overhead

.99x > .21x + 5000

.99x - .21x > 5000

.78x > 5000

x > 5000/.78 = 6410.25
x > 6,411 pens (rounded off to the next higher whole number)

This means the factory starts making profit at 6,411 pens per month.

Question 29

You are working in a hospital supply room and make $13.65 an hour. The union negotiates a new contract giving each employee a 4.3% cost of living raise. What is your new hourly rate?

Answer 29

$14.24 an hour

Explanation:
Compute the raise by multiplying the rate of increase with the hourly wage:

Raise = $13.65 per hour (4.3%) = 13.65(.043) = $.59 per hour
Compute the new hourly rate by adding the previous hourly wage and the raise:

New hourly rate = 13.65 + .59 = $14.24 per hour

Question 30

You just left for vacation 2 hours ago. You have driven about 50 miles per hour on the 2-lane road and take an exit to get dinner. You call your Dad to check in. Your Dad has decided to join you after initially turning down your invitation. How long will you have to wait for him if he drives 40 miles per hour?

Answer 30

2 hours + 30 minutes

Explanation:
The formula for distance travelled is:

Distance travelled = Speed x Time

Hence, the distance you have travelled is:

D = 50 miles per hour x 2 hours = 50 x 2 = 100 miles
The time needed by your father to cover the same distance at slower speed is:

100 = 40 x Time needed

Time needed = 100/40 = 2.5 hours, or 2 hours and 30 minutes
TIP: It is easier to remember the formula as:

D = ST

Question 31

A pizzeria caters parties and just finished baking 60 pizzas. The church youth group just picked up their order of ¼ of the pizzas baked. A school graduation party is picking up 1/3 of the pizzas baked. A martial arts club stopped in and bought 1/20 of the pizzas baked. How many pizzas are left from the 60 that were baked?

Answer 31

22

Explanation:
Compute the number of pizzas picked up:

No. of pizzas picked up by church youth = ¼(60) = 15

No. of pizzas picked up by school = 1/3(60)= 20

No. of pizzas picked up by martial arts = 1/20(60) = 3
The total number of pizzas picked up = 15+20+3 = 38

The number of pizzas left = 60 – 38 = 22

Question 32

Jill bought 2 cases of computer paper (10 reams per case) on sale for $85.00. The regular rate is: 1 case = $52.50. What was her savings amount on the cost of each ream?

Answer 32

$1.00 per ream savings

Explanation:
The regular price for 2 cases of computer paper is: 2 x $52.50 = $105

The amount saved by Jill on 2 cases is: $105 - $85 = $20

The equivalent number of reams bought by Jill is: 2 x 10 = 20 reams

Therefore, Jill’s savings per ream is: $20/20 reams = $1 per ream

Question 33

You take your dog for a walk in the evenings and it takes about 25 minutes to walk 8 city blocks. If you decide to do a “marathon walk” of 32 city blocks on a Saturday, how many minutes will it take you to complete this?

Answer 33

1 hour + 40 minutes

Explanation:
Compute for your walking speed using the general formula for distance and speed:

Distance = speed x time

Or Speed = Distance/Time

Walking speed = 8 city blocks/25 minutes

Walking speed = 8 /25
Compute for the time it will take you to walk 32 city blocks. Use the same formula on distance and speed:

Distance = speed x time

Or Time = Distance/Speed

Time = 32 city blocks/(8/25) = 32(25)/8 = 100 minutes
Converting 100 minutes to hours and minutes:

100 minutes = 60 minutes + 40 minutes = 1 hour + 40 minutes

Question 34

School enrollments have fluctuated quite a bit in Oregon this year. The state department of education predicted there would be 300,000 students enrolled state-wide. The enrollment ended up being 375,000. How much of a percentage increase over the projected amount is this?

Answer 34

A 25% increase in the projected amount.

Explanation:
To compute for percentage increase (or decrease), use the formula:

Percentage increase = [(higher value – lower value)/lower value] x 100%

Percentage increase = [(375000-300000)/300000] x 100% = .25 x 100% = 25%
TIP: If you don’t like memorizing formulas, just remember to get the increase then divide by the original number:

(375000-300000)/300000 = 75000/300000 = 0.25.
When you need your answer to be expressed as percentage, simply multiply it by 100:

0.25 x 100 = 100%

Question 35

You’re applying for a job that has a skills test requirement. In order to pass you need to get 48 of the 55 questions correct. What percent of the questions do you need to answer correctly?

Answer 35

87%

Explanation:
The percentage of the correct answers is equal to number of correct answers divided by the total multiplied by 100%. Hence,

Percentage of correct answers = (48/55) x 100% = 87%

Question 36

You just started a retirement fund by depositing $7,000 in an account. The annual interest rate for “no early withdrawal” penalty is 5.75%. How much money will you have in your account if you leave it for 2 years?

Answer 36

$7828.14

Explanation:
Compute the amount of the fund after the 1st year:

Amount of fund = initial amount (1 + interest rate/100)

= 7000 (1 + 5.75/100) = 7000 (1 + .0575) = 7000 (1.0575)

= 7402.50
Compute the amount of the fund after the 2nd year:

Amount of fund = 7402.50 (1.0575) = 7828.14
The amount of the retirement fund after 2 years is $7,828.14

TIP: For computing the fund involving a higher number of years, such as 20 years, you cannot use this method because it will be very time-consuming. Instead, use the formula:

Amount of fund in 20 years = 7000 x (1 + 5.75/100)exponent 20

Question 37

You’re getting in shape for a marathon and are going to use the local school track to build up to more mileage. The track measures out to one quarter of a mile around. If you ran 18 laps, how many miles would this be?

Answer 37

4.50 miles

Explanation:
There are 4 laps in a mile

Using this to convert 18 laps to miles:

Number of Miles/18 laps = 1 mile/4 laps

Number of Miles = 18 laps x (1 mile/4 laps) = 18 (1/4) = 4.5 miles

Question 38

You just drove 280 miles and it took you approximately 5 hours. How many miles per hour was your average speed?

Answer 38

An average of about 56 miles per hour

Explanation:
Use the formula for distance, speed and time:

D = speed x time

Speed = D/t

Speed = 280 miles/5 hours = 56 miles/hour

Question 39

You work in a hospital and make $15.28 per hour for a 40 hour a week. If you work the night shift you get a slight differential added at 2.32 per hour worked during this shift. You just completed your first week and worked 34 hours on regular shift and 6 hours on the night shift. What is the total gross amount you earned this week?

Answer 39

$625.12

Explanation:
The gross amount earned is computed by adding the amount earned for the day shift and the amount earned for the night shift.

Amount earned for the day shift = 34 x 15.28 = $519.52

Amount earned for the night shift = 6 x (15.28+2.32) = 6 x 17.6 = $105.60

The gross amount earned for the week = $519.52 + $105.60 = $625.12

Question 40

Your local library branch has 28 employees and currently provides approximately 48 square feet per employee for their work station. The library just hired 2 new employees. To make room to add these 2 new people, each employee’s work station will be reduced to about:

Answer 40

44.8 square feet

Explanation:
Compute the current total area occupied by 28 employees:

48 sq. ft. per employee x 28 employees = 1344 square feet
Compute the new area allotted per employee, with a total of 30 employees now:

1344 square feet/30 employees = 44.8 sq. ft. per employee

Question 41

Tom has been saving for a new car and finally has the money to make the deal. He put down $3,800 and will be paying $325 a month for 5.5 years. What is the total cost of his purchase?

Answer 41

$25250

Explanation:
The total cost of the car= down payment + total installments

= $3,800 + ($325 x 5.5 years x 12 months in a year)

= 3,800 + (325 x 5.5 x 12) = 3,800 + 21,450
The total cost of the car= $25,250

Question 42

Eight girls in a club are comparing their weekly allowance. Jan and Sue each receive $10 a week. Lori and Tina each receive $5 a week. Julie, Christie and Faith each receive $12 a week. Cheryl does not get an allowance but her parents often buy her things as she needs them. What is the average amount of allowance given between these 8 girls?

Answer 42

$8.25

Explanation:
The average is solved by adding all of the values given and dividing the total with the number of values:

Average = (10 + 10 + 5 + 5 + 12 + 12 + 12 + 0)/8 = 66/8 = 8.25

Average allowance = $8.25

Question 43

The distance between cities A and B is approximately 1,800 miles. If you drive an average of 55 miles per hour, how many hours will it take you to drive from city A to city B?

Answer 43

Approximately 33 hours

Explanation:
Use the formula for distance, speed and time:

Distance = speed x time

1800 mile = 55 miles per hour x time

Time = 1800/55 = 32.73 hours or approximately 33 hours

Question 44

You are hosting a graduation party and you need 32 gallons of lemonade. Which is the better buy?

Answer 44

Six 5-gallon jugs at $100 + Two 1-gallon jugs at $15 each

Explanation:
Comparing all the combinations, the best buy is the “six 5-gallon jugs at $100 + two 1-gallon jugs at $15 each”, which costs:

(6 x $100) + (2 x $15) = $630 (32 gallons)
The costs of the other combinations are:

$542 + $208 = $750 (35 gallons)

$542 + $100 + (2 x $15) = $672 (32 gallons)

(3 x $208) + (2 x $15) = $654 (32 gallons)

Question 45

Chris is driving a truck that can hold 4 tons maximum. He has a shipment of food weighing 26,000 pounds. How many trips will he need to make?

Answer 45

4 trips

Explanation:
A ton is approximately 2,000 pounds.

Maximum load that Chris’ truck can carry = 4 tons x 2,000 pounds/ton = 8,000 pounds

Compute for the number of trips needed:

Number of trips = 26,000/8000 = 3.25 = 4 trips rounded off to the higher whole number

Question 46

2 monorails depart their respective stations at the same time. The monorail headed south is traveling 65 miles an hour, while the monorail headed north is traveling 55 miles per hour. Given this information, how many miles will both monorails travel in 4 hours?

Answer 46

480 miles

Explanation:
The total distance travelled by both monorails can be computed by adding the Distance travelled by the south monorail and the Distance travelled by the south monorail:

Total distance = Distance south monorail + Distance north monorail
Solve for Distance travelled by each monorail using the formula Distance=speed x time

Distance travelled south monorail = 65 x 4 = 260 miles

Distance travelled north monorail = 55 x 4 = 220 miles

Total distance travelled by the 2 monorails = 260 + 220 = 480 miles

Question 47

Your new remodel is almost done. The contractor needs to put the final framing on and needs 8 sections, each 4 feet 2 inches. The framing is sold by the foot. What is the shortest length that will cover his needs?

Answer 47

34 feet

Explanation:
The contractor needs 8 pieces of 4-foot framing and 8 pieces of 2-inch framing.

8 x 4 feet = 32 feet

8 x 2 inches=16 inches
Convert 16 inches to feet considering that there are 12 inches in 1 foot:

16 inches = 12 inches + 4 inches = 1 foot + 4 inches
Adding: 32 feet + 1 foot + 4 inches

Total length in feet = 33 feet and 4 inches

Therefore, the shortest length that the contractor can buy is 34 feet.

Question 48

You just bought 4 take-out Mexican dinners. They were priced $14.96, $14.96, 15.75, and 17.85. You had a coupon to buy one, get a second one for half-price on all item that is the same price. (Only 1 coupon per purchase allowed). What is the total amount you paid?

Answer 48

$56.04

Explanation:
From the dinners bought, two items have the same price ($14.96) and qualify for the coupon that gives half-price on the same second dinner. The total amount paid then is:

Total amount paid = $14.96 +($14.96/2)+ $15.75 + 17.85 = $56.04

Question 49

Bob just got hired to be on the road selling and travels about 1,500 miles a week during a 40 hour work week. If the time spent traveling is 2/3 of his week, how many hours a week is he on the road?

Answer 49

Bob spends about 27 hours of his 40 hour work week on the road.

Explanation:
The problem does not actually need the information on the 1,500 miles Bob travels in a week.

To get 2/3 of the 40 hours, simply multiply 40 and 2/3:

Number of hours travelled in a 40-hour work week = 40 x 2/3 = 80/3 = 26.67 = 27 hours

Question 50

Karen is 6 years older than her sister Michelle, and Michelle is 2 years younger than their brother David. If the sum of their ages is 62, how old is Michelle?

Answer 50

18

Explanation:
Let: “x” be Michelle’s age

x+6 = Karen’s age

x+2 = David’s age

State the problem in an equation:

x + x+6 + x+2 = 62

3x + 8 = 62

3x = 62-8 = 54

x = 54/3

x = 18 = Michelle’s age