BSEP Ratios and Proportions 5 — Questions and Answers
Question 1: A mixture contains salt and water in a ratio of 1:8. If you have 72 ounces of water, how many ounces of salt do you need?
- 8 ounces
- 9 ounces (Correct answer)
- 10 ounces
- 12 ounces
Correct answer: 9 ounces
1/8 = x/72 gives x = 72/8 = 9 ounces of salt.
Question 2: A store sells 3 cans of soup for $4.50. At this rate, what is the cost of 10 cans?
- $13.50
- $15.00 (Correct answer)
- $12.00
- $14.50
Correct answer: $15.00
Each can costs $1.50; 10 × $1.50 = $15.00.
Question 3: A model airplane is built to a scale of 1:72. If the real airplane's wingspan is 36 feet, what is the model's wingspan in inches?
- 4 inches
- 5 inches
- 6 inches (Correct answer)
- 8 inches
Correct answer: 6 inches
36 feet = 432 inches; 432 ÷ 72 = 6 inches.
Question 4: If 4 painters can paint a house in 6 days, how many days would it take 8 painters working at the same rate?
- 2 days
- 3 days (Correct answer)
- 4 days
- 5 days
Correct answer: 3 days
Doubling the painters halves the time: 6 ÷ 2 = 3 days (inverse proportion).
Question 5: A class has a student-to-teacher ratio of 18:1. If there are 6 teachers, how many students are there?
- 96 students
- 108 students (Correct answer)
- 112 students
- 120 students
Correct answer: 108 students
18 × 6 = 108 students.
Question 6: A fertilizer requires 3 tablespoons per gallon of water. How many tablespoons are needed for 2.5 gallons?
- 6 tablespoons
- 7 tablespoons
- 7.5 tablespoons (Correct answer)
- 8 tablespoons
Correct answer: 7.5 tablespoons
3 × 2.5 = 7.5 tablespoons.
Question 7: A basketball player made 15 out of 20 free throw attempts. At this ratio, how many would she make out of 60 attempts?
- 40
- 42
- 45 (Correct answer)
- 48
Correct answer: 45
15/20 = 3/4; (3/4) × 60 = 45 free throws made.
BSEP Ratios and Proportions 5
A mixture contains salt and water in a ratio of 1:8.
If you have 72 ounces of water, how many ounces of salt do you need?