Ratios & Equivalent Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a:b'.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.

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 ratio of flour to water if 48 cups of flour are used with 12 pints of water?

Back

The ratio of flour to water is 48:12, which simplifies to 4:1.

Front

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

Back

The ratio of sugar to flour is 3:2.

Front

How many cups of flour are needed for 24 pints of water if 12 pints require 48 cups?

Back

For 24 pints of water, 96 cups of flour are needed, as it doubles the amount.

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 30 ounces of soup are made with 9 cups of pasta, how many ounces of soup are needed for 3 cups of pasta?

Back

10 ounces of soup are needed for 3 cups of pasta, maintaining the same ratio.

Front

Which ratio is equivalent to 1:2?

Back

3:6 is equivalent to 1:2.

Front

If a recipe requires 3:8 ratio of ingredients, what is the equivalent ratio if you double the amounts?

Back

The equivalent ratio would be 6:16.