BSEP Ratios and Proportions 5

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?

Accepted Answer

9 ounces

Answer

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?

Accepted Answer

$15.00

Answer

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?

Accepted Answer

6 inches

Answer

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?

Accepted Answer

3 days

Answer

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?

Accepted Answer

108 students

Answer

18 × 6 = 108 students.

BSEP - Basic Skills Education Program Practice Test