Ratio Word Problems

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

How do you express a ratio?

Back

A ratio can be expressed in three ways: as a fraction (a/b), with a colon (a:b), or in words (a to b).

Front

What does it mean if a ratio is 1:7?

Back

It means for every 1 part of the first quantity, there are 7 parts of the second quantity.

Front

How do you find the total number of items when given a ratio and a total?

Back

To find the total number of items, divide the total by the sum of the parts of the ratio, then multiply by each part.

Front

If the ratio of A to B is 2:3 and A = 10, how do you find B?

Back

Set up the equation 2/3 = 10/B, cross-multiply to find B = 15.

Front

What is the first step in solving a word problem involving ratios?

Back

Identify the quantities involved and the ratio that relates them.

Front

How do you solve for an unknown in a ratio problem?

Back

Set up a proportion based on the given ratio and solve for the unknown.

Front

What is a proportion?

Back

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

Front

How can you check if two ratios are equivalent?

Back

Cross-multiply the ratios; if the products are equal, the ratios are equivalent.

Front

In a ratio problem, if the total is 60 and the ratio is 3:2, how many parts are there?

Back

There are 5 parts (3 + 2 = 5). Each part is 12 (60/5).