Ratio Word Problems

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows how many times one value contains or is contained within the other.

Front

How do you write a ratio?

Back

Ratios can be written in three ways: using a colon (e.g., 2:1), as a fraction (e.g., 2/1), or with the word 'to' (e.g., 2 to 1).

Front

What does it mean if the ratio of boys to girls is 3:2?

Back

It means for every 3 boys, there are 2 girls.

Front

If a recipe calls for a ratio of 2:3 for sugar to flour, how much sugar is needed for 6 cups of flour?

Back

4 cups of sugar are needed (2/3 of 6 = 4).

Front

How do you find the total number of parts in a ratio?

Back

Add the numbers in the ratio together. For example, in a ratio of 2:3, the total parts are 2 + 3 = 5.

Front

If there are 30 students in a class and the ratio of boys to girls is 1:2, how many boys are there?

Back

There are 10 boys (1 part boys out of 3 total parts: 30/3 = 10).

Front

What is a proportion?

Back

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

Front

If 4 apples cost $2, how much do 10 apples cost?

Back

$5 (Set up the proportion: 4/2 = 10/x, solve for x).

Front

What is the first step to solve a ratio word problem?

Back

Identify the quantities being compared and their relationship.

Front

In a class of 24 students, if the ratio of students who like math to those who do not is 3:1, how many students like math?

Back

18 students like math (3 parts out of 4 total parts: 24/4 = 6, then 6 * 3 = 18).