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 2:3 and 4:6 are equivalent.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common factor (GCF). For example, to simplify the ratio 8:12, divide both by 4 to get 2:3.

Front

What is the ratio of red apples to green apples if there are 4 red apples and 3 green apples?

Back

4 to 3

Front

If a recipe requires 2 cups of milk for every 3 cups of flour, how many cups of flour are needed for 8 cups of milk?

Back

12 cups of flour.

Front

In a class, if the ratio of boys to girls is 6:5 and there are 18 boys, how many girls are there?

Back

15 girls.

Front

What is the simplest form of the ratio of girls to boys if there are 6 girls and 21 boys?

Back

2:7

Front

If there are 3 orange circles for every 2 blue circles, what is the ratio of orange circles to blue circles?

Back

3:2

Front

What does it mean if two ratios are equivalent?

Back

It means they represent the same relationship between two quantities, even if the numbers are different.

Front

How can you find an unknown quantity in a ratio problem?

Back

You can set up a proportion using the known ratios and solve for the unknown quantity.

Front

If the ratio of cats to dogs is 4:5 and there are 20 cats, how many dogs are there?

Back

25 dogs.