FDP's

Question 1

What happens to the result when you multiply any fraction between 0-1 by another number?

Answer 1

It gets smaller
EX. 1/4*10 = 10/4=2.5
2.5

Question 2

How to solve mixtures and percentage problems.

EX.

Bob just filled his car’s gas tank with 20 gallons of gasohol, a mixture consisting of 5% ethanol and 95% gasoline. If his car runs best on a mixture consisting of 10% ethanol and 90% gasoline, how many gallons of ethanol must he add into the gas tank for his car to achieve optimum performance?

Answer 2

1. Solve for how many gallons of each type.
2. Set values up in a proportion to get new amount.

19 X ?
90 10

3. Solve

ANS (10/9) gallons

Question 3

When given fractions, decimals or %’s, generally you can save time using which format in which scenarios?

Answer 3

If doing division or multiplication, use fractions because they can be simplified.

If adding or subtracting or comparing, use decimal percents as all have the same denominator.

Question 4

Know the common FDP Equivalents…

Answer 4

See Chegg Deck

Question 5

When DS, decide exactly what the question is asking for by seeing if they want a ________ or __________

Answer 5

Concrete Value

Relative Vale

Question 6

You need more/less data qualify for “sufficient” in concrete or relative value?

What is the rule for Relative value?

Answer 6

Less data for Relative

If the DS question asks for a relative value, any statement that gives the relative value of ANY 2 parts will be sufficient.

EX. What fraction of total pies sold last month were apple?

1. The company sold 30% more apple than cherry.
   (This is sufficient because it gives me 2 relative pieces of information)

Question 7

What is the rule for Relative value problems?

Answer 7

If the DS question asks for a relative value, any statement that gives the relative value of ANY 2 parts will be sufficient.

Question 8

What is the rule for Concrete value problems?

Answer 8

To be sufficient, the statement must give a concrete value in the relationship AND a relation between 2 parts.
(This is why you need MORE info for concrete values and why answer C or E is most common if asked for concrete data)

Question 9

When estimating 2 fractions, make sure to ?

Answer 9

Round 1 up and 1 down to cancel rounding

Question 10

With % problems that give an unknown value and ask to solve for some percent of 1 is to the other, what is the fastest way to solve?

Answer 10

Use “100” as the smart number in the equation.

Question 11

Give an example of a “heavy division” shortcut.

Answer 11

45,678,345 / 9,678,432

This is about 45/9 = 5

Question 12

When to use SMART numbers?

Answer 12

When the word problem does NOT give you ANY real numbers to work with!

Question 13

With which type of problems can be solved with the chart?
What is the function of the chart?

What tricks to remember?

Answer 13

Chemical mixtures, Percents and Weighted Averages, Percent Change and Weighted Averages.
The function of the chart helps organize the data so an equation can be created.

Trick: If no real numbers are given, you can only use 1 Smart Number (100 seemed to work well). If I use 100 as a smart number for 1 item, the other item must be the variable (X).

Trick: Many times, they are looking for the percent of 1 variable to the total. If there are 4 different flavors in a problem then solve for the Variable and the “Other Stuff” all grouped together.

EX. There is Brand A and Brand B. Brand A has 40% millet and 60% sunflower, and Bradnd B, which is 65% millet and 35% safflower. If the customer purchases a mix that is 50% millet, what percent the mix is Brand A?

The categories on the table will be Millet and “Other Stuff’.