Ratios and Ratio Tables

Front

What is a ratio?

Back

A ratio is a relationship between two quantities, showing how many times one value contains or is contained within the other.

Front

How do you express a ratio?

Back

A ratio can be expressed in three ways: as a fraction (e.g., 3/4), with a colon (e.g., 3:4), or with the word 'to' (e.g., 3 to 4).

Front

What is the ratio of red toy cars to all toy cars if there are 2 black, 3 red, and 5 white toy cars?

Back

The ratio of red toy cars to all toy cars is 3:10.

Front

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

Back

To find the total number of items, add all the parts of the ratio together.

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different (e.g., 1:2 is equivalent to 2:4).

Front

How can you determine if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal.

Front

What is a ratio table?

Back

A ratio table is a table that displays pairs of numbers that form equivalent ratios.

Front

How do you use a ratio table to find missing values?

Back

You can use a ratio table to find missing values by identifying the pattern in the ratios and applying it to find the unknown.

Front

If the ratio of red apples to green apples is 4:3, how many green apples are there if there are 12 red apples?

Back

If there are 12 red apples, there are 9 green apples (using the ratio 4:3, 12 is 4 times 3, so 3 times 3 is 9).

Front

In a paint mixing problem, if the ratio of red paint to yellow paint is 3:5, how much yellow paint is needed for 9 oz of red paint?

Back

If the ratio is 3:5, then for 9 oz of red paint, you need 15 oz of yellow paint.