LEAP Ratios and Proportional Relationships 2

Question 1

A recipe uses 3 cups of flour for every 2 cups of sugar. If you use 9 cups of flour, how many cups of sugar are needed?

Accepted Answer

6 cups

Answer

The ratio 3:2 means for every 3 cups of flour there are 2 cups of sugar, so 9 cups of flour requires 9 × (2/3) = 6 cups of sugar.

Question 2

A car travels 150 miles in 3 hours. At the same rate, how far will it travel in 5 hours?

Accepted Answer

250 miles

Answer

The unit rate is 150 ÷ 3 = 50 miles per hour, so in 5 hours the car travels 50 × 5 = 250 miles.

Question 3

On a map, 1 inch represents 40 miles. Two cities are 3.5 inches apart on the map. What is the actual distance between them?

Accepted Answer

140 miles

Answer

Multiply the map distance by the scale factor: 3.5 × 40 = 140 miles.

Question 4

A store sells 5 notebooks for $8.75. What is the cost of 8 notebooks at the same rate?

Accepted Answer

$14.00

Answer

The unit price is $8.75 ÷ 5 = $1.75 per notebook; 8 × $1.75 = $14.00.

Question 5

The ratio of boys to girls in a class is 4:5. If there are 20 boys, how many girls are there?

Accepted Answer

25

Answer

If 4 parts = 20 boys, then 1 part = 5, so 5 parts = 25 girls.

(LEAP) Louisiana Educational Assessment Program Practice Test