Proportion Word Problems

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you set up a proportion to solve a word problem?

Back

Identify the two ratios involved in the problem and set them equal to each other.

Front

If 4 out of 5 students passed a test, how would you express this as a proportion?

Back

The proportion is 4/5.

Front

What is the cross-multiplication method in solving proportions?

Back

Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio and setting the two products equal.

Front

In a recipe, if 2 cups of flour are needed for 3 cakes, how much flour is needed for 9 cakes?

Back

6 cups of flour (2 cups x 3).

Front

If a car travels 150 miles on 5 gallons of gas, what is the rate of miles per gallon?

Back

30 miles per gallon (150 miles ÷ 5 gallons).

Front

How do you find the total number of items based on a given ratio?

Back

Multiply the number of items in the ratio by the total number of parts in the ratio.

Front

If 10 out of 25 students prefer chocolate ice cream, what is the expected number of students who prefer chocolate ice cream in a class of 100?

Back

40 students (10/25 = x/100).

Front

What is the formula for finding a missing value in a proportion?

Back

If a/b = c/d, then ad = bc.

Front

If a recipe calls for 3 eggs for every 2 cups of sugar, how many eggs are needed for 8 cups of sugar?

Back

12 eggs (3 eggs x 4).