BSEP Ratios and Proportions 3 — Questions and Answers
Question 1: A worker earns $84 in 7 hours. How much does she earn in 10 hours at the same rate?
- $112
- $120 (Correct answer)
- $108
- $130
Correct answer: $120
Hourly rate = $12/hr; 10 × $12 = $120.
Question 2: The ratio of red marbles to blue marbles is 5:3. If there are 24 blue marbles, how many red marbles are there?
- 30 marbles
- 40 marbles (Correct answer)
- 35 marbles
- 45 marbles
Correct answer: 40 marbles
5/3 = x/24, so x = (5 × 24) / 3 = 40.
Question 3: A photograph is 4 inches wide and 6 inches tall. If it is enlarged so the width becomes 10 inches, what is the new height?
- 12 inches
- 14 inches
- 15 inches (Correct answer)
- 16 inches
Correct answer: 15 inches
4/6 = 10/x gives x = 15 inches to maintain the same ratio.
Question 4: If 3 shirts cost $45, how much do 7 shirts cost at the same price?
- $95
- $100
- $105 (Correct answer)
- $110
Correct answer: $105
Each shirt costs $15; 7 × $15 = $105.
Question 5: In a poll, 3 out of every 8 people prefer brand A. In a group of 400 people, how many prefer brand A?
- 125
- 150 (Correct answer)
- 175
- 200
Correct answer: 150
(3/8) × 400 = 150 people prefer brand A.
Question 6: A shadow 4 feet long is cast by a pole 6 feet tall. At the same time, a tree casts a shadow 22 feet long. How tall is the tree?
- 30 feet
- 33 feet (Correct answer)
- 36 feet
- 28 feet
Correct answer: 33 feet
4/6 = 22/x gives x = (22 × 6) / 4 = 33 feet.
Question 7: A tank fills at a rate of 15 gallons every 4 minutes. How many gallons will it hold after 12 minutes?
- 36 gallons
- 40 gallons
- 45 gallons (Correct answer)
- 48 gallons
Correct answer: 45 gallons
15/4 = x/12, so x = (15 × 12) / 4 = 45 gallons.
BSEP Ratios and Proportions 3
A worker earns $84 in 7 hours.
How much does she earn in 10 hours at the same rate?