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, 1:2 and 2:4 are equivalent ratios.

Front

How do you find equivalent ratios using multiplication?

Back

To find equivalent ratios using multiplication, multiply both terms of the ratio by the same non-zero number. For example, for the ratio 3:4, multiplying both by 2 gives 6:8.

Front

What is the ratio of boys to girls if there are 5 boys and 7 girls?

Back

The ratio of boys to girls is 5:7.

Front

If a recipe calls for 2 cups of flour and 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

What is the simplest form of the ratio 8:12?

Back

The simplest form of the ratio 8:12 is 2:3.

Front

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

Back

If there are 20 dogs, there are 16 cats, since the ratio 4:5 means for every 4 cats, there are 5 dogs.

Front

What is the ratio of 36 to 21 in simplest form?

Back

The ratio of 36 to 21 in simplest form is 12:7.

Front

How can you express the ratio 5:4 in terms of equivalent ratios?

Back

You can express 5:4 as 10:8, 15:12, or 25:20 by multiplying both terms by the same number.

Front

What is the ratio of walnuts to peanuts in a mixture containing 5 walnuts, 4 hazelnuts, and 10 peanuts?

Back

The ratio of walnuts to peanuts is 5:10, which simplifies to 1:2.

Front

If a class has 12 boys and 18 girls, what is the ratio of girls to boys?

Back

The ratio of girls to boys is 18:12, which simplifies to 3:2.