LEAP Ratios and Proportional Relationships 2 — Questions and Answers
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?
- 4 cups
- 5 cups
- 6 cups (Correct answer)
- 7 cups
Correct answer: 6 cups
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?
- 200 miles
- 225 miles
- 250 miles (Correct answer)
- 300 miles
Correct answer: 250 miles
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?
- 120 miles
- 130 miles
- 140 miles (Correct answer)
- 150 miles
Correct answer: 140 miles
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?
- $12.00
- $13.00
- $14.00 (Correct answer)
- $15.00
Correct answer: $14.00
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?
- 16
- 20
- 25 (Correct answer)
- 28
Correct answer: 25
If 4 parts = 20 boys, then 1 part = 5, so 5 parts = 25 girls.
Question 6: Which of the following pairs of ratios are equivalent?
- 3:5 and 9:20
- 4:6 and 6:9 (Correct answer)
- 2:7 and 4:21
- 5:8 and 10:18
Correct answer: 4:6 and 6:9
4:6 simplifies to 2:3 and 6:9 also simplifies to 2:3, so they are equivalent ratios.
Question 7: A worker earns $12.50 per hour. How much does the worker earn for 6.5 hours of work?
- $75.00
- $78.25
- $81.25 (Correct answer)
- $84.50
Correct answer: $81.25
Multiply the hourly rate by the number of hours: $12.50 × 6.5 = $81.25.
LEAP Ratios and Proportional Relationships 2
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?