Equivalent Ratio Word Problems

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

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. For example, to find an equivalent ratio for 2:3, you can multiply both terms by 2 to get 4:6.

Front

What is the ratio of 6th graders to 7th graders if there are 32 6th graders and 8 7th graders?

Back

The ratio is 32:8, which simplifies to 4:1.

Front

If a recipe calls for 4 cups of sugar for every 5 cups of flour, what is the ratio of sugar to flour?

Back

The ratio of sugar to flour is 4:5.

Front

How many tablespoons are in 3 cups if there are 2 tablespoons in 1 fluid ounce and 8 fluid ounces in 1 cup?

Back

There are 48 tablespoons in 3 cups.

Front

What is the unit rate for kilometers per hour if an airplane travels 6,534 kilometers in 9 hours?

Back

The unit rate is 726 kilometers per hour.

Front

If the ratio of comedies rented to action movies rented is 4:3 and 20 comedies were rented, how many action movies were rented?

Back

15 action movies were rented.

Front

What is the first step to solve a word problem involving ratios?

Back

Identify the quantities involved and their relationship as described in the problem.

Front

How can you check if two ratios are equivalent?

Back

You can cross-multiply the ratios. If the cross-products are equal, the ratios are equivalent.

Front

What does it mean to simplify a ratio?

Back

Simplifying a ratio means reducing it to its simplest form by dividing both terms by their greatest common divisor.