Comparing 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 to b' or 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 can be simplified 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 10 to 5?

Back

The ratio of 10 to 5 can be simplified to 2 to 1 or 2:1.

Front

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

Back

An equivalent ratio could be 4 cups of sugar for every 6 cups of flour (4:6).

Front

What is the ratio of girls to boys if there are 12 girls and 16 boys?

Back

The ratio of girls to boys is 12:16, which can be simplified to 3:4.

Front

If 5 apples cost $10, how much do 15 apples cost?

Back

15 apples cost $30, as the ratio of cost to apples is equivalent (10/5 = 30/15).

Front

What is the ratio of 8 to 12 in simplest form?

Back

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

Front

How can you check if two ratios are equivalent?

Back

You can check if two ratios are equivalent by cross-multiplying and comparing the products.

Front

What is the ratio of 21 boys to 7 girls?

Back

The ratio of boys to girls is 21:7, which simplifies to 3:1.