Word Problems Flashcards
Two factory plants are making TV panels. Yesterday, Plant A produced twice as many panels as Plant B. Two percent of the panels from Plant A and 3% of the panels from Plant B were defective. How many panels did Plant B produce, if the two plants together produced 770 defective panels?
Plant A= 2x _ 2% _ 0.02(2x)
Plant B= x _ 3% _ 0.03x
Total = 770
Equation: 0.02(2x) + 0.03x = 770
The answe will be 11,00
I used _ as a space
Two factory plants are making TV panels. Yesterday,** Plant A produced 6000 panels**. Two percent of the panels from Plant A and 7% of the panels from Plant B were defective. How many panels did Plant B produce, if the overall percentage of defective panels from the two plants was 5%?
Plant A= 6000 _ 2% _ 0.02(6000)
Plant B= x _ 7% _ 0.07x
Total = 6000+x _ 5% _ 0.05(6000+x)
Equation: 0.02(6000) + 0.03x = 0.05(6000+x)
A Web music store offers two versions of a popular song. The size of the standard version is 2.4 megabytes (MB). The size of the high-quality version is 4.8 MB. Yesterday, the high-quality version was downloaded twice as often as the standard version. The total size downloaded for the two versions was 3000 MB. How many downloads of the standard version were there?
Standard= 2.4x
High-quality= 4.8(2x)
Total= 3000
Equation: 2.4x + 4.8(2x) = 3000
Answer will be 250
A total of 381 tickets were sold for the school play. They were either adult tickets or student tickets. There were 69 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Adult ticket= x
Student tickets= x - 69
Total= 381
Equation: x-69 + x = 381
2x - 69 = 381
Answer: 225
An aquarium tank can hold 7200 liters of water. There are two pipes that can be used to fill the tank. The first pipe alone can fill the tank in 96 minutes. The second pipe can fill the tank in 48 minutes by itself. When both pipes are working together, how long does it take them to fill the tank?
Pipe 1= 7200/96 = 75
Pipe 2= 7200/48 = 150
75 + 150 = 225
Answer: 7200/225 = 32
Answer 32
An item is regularly priced at $83. Maya bought it on sale for 35% off the regular price.
First: we change the 35% to decimal 0.35
Second: we multiply 83 x 0.35 = 29.05
Third: we subtract 83 - 29.05 = 53.95
Answer: 53.95
In the lab, Isabel has two solutions that contain alcohol and is mixing them with each other. Solution A is 20% alcohol and Solution B is 6% alcohol. She uses 600 milliliters of Solution A. How many milliliters of Solution B does she use, if the resulting mixture is a 12% alcohol solution?
Solution A= 600 _ 20% _ 0.20(600)
Solution B= x _ 6% _ 0.06x
Total = 600 + x _ 12% _ 0.12(600+x)
Equation: 0.20(600) + 0.06x = 0.12(600 + x)
Answer 800
Same as Plant A equation
A cyclist traveled 15 kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel 12 kilometers, the skater had gone 6 kilometers. Find the speed of the skater.
FIRST:
Cyclist= Distance (12) _ Rate (x+15) _ Time (12/x+15)
Skater= Distance (6) _ Rate (x) _ Time (6/x)
12/x+15 = 6/x
SECOND:
We multiply using the cross-method. We get the following: 12x = 6(x+15)
Then, we solve.
Answer 15
A machine produces 268 bolts in 28 minutes. At the same rate, how many bolts would be produced in 21 minutes?
1) 268/28 Q/21
2) we use the cross-method and start to solve the euation. 238 x 21 = 28Q
3) 5628/28 = Q
4) Answer 201 = Q
When solving a problem that have a distance, rate, and time, what order or equation should you use?
Order: distance, rate, and time
Equation: time= distance/rate
2nd equation: distance= rate . time
Distance (miles), Rate (miles/hour), Time (hours)
still water, still air, or still whatever MEANS
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