BMST Ratios, Proportions, and Percentages 4 — Questions and Answers
Question 1: A tank is 3/5 full and contains 120 liters. What is the total capacity of the tank?
- 160 liters
- 180 liters
- 200 liters (Correct answer)
- 220 liters
Correct answer: 200 liters
120 = (3/5) × capacity, so capacity = 120 × 5/3 = 200 liters.
Question 2: If the price of an item drops from $150 to $120, what is the percent decrease?
- 15%
- 18%
- 20% (Correct answer)
- 25%
Correct answer: 20%
(150 − 120) / 150 × 100 = 30/150 × 100 = 20%.
Question 3: A team wins 18 out of 30 games. What percentage of games did they win?
- 54%
- 58%
- 60% (Correct answer)
- 65%
Correct answer: 60%
18 / 30 × 100 = 60%.
Question 4: A machine produces 450 parts in 5 hours. At the same rate, how many parts does it produce in 8 hours?
- 640
- 680
- 700
- 720 (Correct answer)
Correct answer: 720
Rate = 450/5 = 90 parts/hour; 90 × 8 = 720 parts.
Question 5: The ratio of cats to dogs in a shelter is 3:5. If there are 40 dogs, how many animals are there in total?
- 56
- 60
- 64 (Correct answer)
- 72
Correct answer: 64
Cats = (3/5) × 40 = 24; total = 24 + 40 = 64.
Question 6: A student scored 78 out of 120 on a test. What is the score as a percentage (rounded to the nearest whole number)?
- 63%
- 65% (Correct answer)
- 67%
- 68%
Correct answer: 65%
78 / 120 × 100 = 65%.
Question 7: Two quantities are proportional. When x = 4, y = 10. What is y when x = 14?
- 30
- 32
- 35 (Correct answer)
- 40
Correct answer: 35
y/x = 10/4 = 2.5; y = 2.5 × 14 = 35.
BMST Ratios, Proportions, and Percentages 4
A tank is 3/5 full and contains 120 liters.
What is the total capacity of the tank?