#030 Equivalent Ratios

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 1:2 and 2:4 are equivalent.

Front

If Mrs. Shelly paid $3 for 6 muffins and Mrs. Kloske paid $9 for 18 muffins, are these ratios equivalent?

Back

Yes, both ratios are equivalent because they simplify to 1:2.

Front

What is the ratio of 6th graders to 7th graders if there are 8 7th graders and the ratio is 4:1?

Back

There are 32 6th graders.

Front

How do you find an equivalent ratio?

Back

To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number.

Front

What is the equivalent ratio of 12:20?

Back

The equivalent ratio is 3:5.

Front

If a cake recipe calls for 1.5 cups of milk and 3 cups of flour, how much milk is needed if 5 cups of flour are used?

Back

2.5 cups of milk are needed to keep the proportions correct.

Front

What is the total number of cars if the ratio of trucks to cars is 7:8 and there are 21 trucks?

Back

There are 24 cars.

Front

What does it mean to simplify a ratio?

Back

To simplify a ratio means to reduce it to its simplest form by dividing both terms by their greatest common divisor.

Front

If the ratio of boys to girls in a class is 3:4, how many boys are there if there are 28 girls?

Back

There are 21 boys.

Front

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

Back

Identify the known ratios and the unknown quantity you need to find.