3.2 Equivalent Ratio Tables

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. For example, the ratios 2:3 and 4:6 are equivalent.

Front

How do you create an equivalent ratio table?

Back

To create an equivalent ratio table, start with a known ratio and multiply or divide both parts of the ratio by the same number to find equivalent ratios.

Front

If the ratio of hamburgers to hotdogs is 5:2, how many hamburgers are there if there are 8 hotdogs?

Back

20 hamburgers.

Front

In a ratio of cats to dogs of 5:8, how many dogs are there if there are 20 cats?

Back

32 dogs.

Front

What is the next equivalent ratio after 6:9?

Back

8:12.

Front

If the ratio of red paint to yellow paint is 5:7, how many ounces of red paint are needed for 35 ounces of yellow paint?

Back

25 ounces of red paint.

Front

What is the formula to find an equivalent ratio?

Back

To find an equivalent ratio, use the formula: (a/b) = (ka/kb), where a and b are the original ratio parts, and k is any non-zero number.

Front

What does it mean if two ratios are proportional?

Back

Two ratios are proportional if they represent the same relationship, meaning they can be expressed as equivalent fractions.

Front

If a recipe calls for a ratio of 2 cups of sugar to 3 cups of flour, how much sugar is needed for 9 cups of flour?

Back

6 cups of sugar.

Front

What is the relationship between equivalent ratios and fractions?

Back

Equivalent ratios can be expressed as equivalent fractions, meaning they represent the same part-to-whole relationship.