BMST Ratios, Proportions, and Percentages 5 — Questions and Answers
Question 1: A recipe requires a sugar-to-flour ratio of 1:4. If you use 3 cups of sugar, how many cups of flour do you need?
- 8
- 10
- 12 (Correct answer)
- 14
Correct answer: 12
3 × 4 = 12 cups of flour.
Question 2: An item costs $45 after a 10% discount. What was the original price?
- $48
- $49.50
- $50 (Correct answer)
- $55
Correct answer: $50
Original × 0.90 = $45, so original = 45 / 0.90 = $50.
Question 3: If 5 workers can complete a job in 12 days, how many days would 15 workers take (assuming constant rate)?
- 3
- 4 (Correct answer)
- 5
- 6
Correct answer: 4
Total work = 5 × 12 = 60 worker-days; 60 / 15 = 4 days.
Question 4: A population grew from 8,000 to 10,000. What is the percentage growth?
- 20%
- 22%
- 25% (Correct answer)
- 28%
Correct answer: 25%
(10,000 − 8,000) / 8,000 × 100 = 2,000/8,000 × 100 = 25%.
Question 5: The ratio of apples to oranges is 2:3, and the ratio of oranges to grapes is 3:4. What is the ratio of apples to grapes?
- 1:2
- 2:4 (Correct answer)
- 1:3
- 2:3
Correct answer: 2:4
Apples:oranges:grapes = 2:3:4, so apples to grapes = 2:4.
Question 6: A 60-question test counts 25% toward the final grade. If a student answers 48 correctly, what percentage score do they earn on this portion?
- 18%
- 19%
- 20% (Correct answer)
- 21%
Correct answer: 20%
48/60 = 80%; 80% × 25% = 20% of the final grade.
Question 7: A solution contains 15 mL of alcohol in 75 mL of total solution. What is the concentration of alcohol as a percentage?
- 15%
- 18%
- 20% (Correct answer)
- 25%
Correct answer: 20%
15 / 75 × 100 = 20%.
BMST Ratios, Proportions, and Percentages 5
A recipe requires a sugar-to-flour ratio of 1:4.
If you use 3 cups of sugar, how many cups of flour do you need?