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 used are different. For example, the ratios 1:2 and 2:4 are equivalent.

Front

How do you determine if two ratios are equivalent?

Back

To determine if two ratios are equivalent, you can cross-multiply the terms. If the cross-products are equal, the ratios are equivalent.

Front

What is the ratio of apples to bananas if there are 4 apples and 2 bananas?

Back

The ratio of apples to bananas is 4:2, which simplifies to 2:1.

Front

If a recipe calls for a ratio of flour to sugar of 2:1, how much sugar is needed for 4 cups of flour?

Back

If the ratio is 2:1, then for 4 cups of flour, you would need 2 cups of sugar.

Front

What is the total number of fruits if there are 4 apples, 2 bananas, and 5 pears?

Back

The total number of fruits is 4 + 2 + 5 = 11.

Front

If the ratio of tomatoes to cucumbers is 4:1 and there are 14 cucumbers, how many tomatoes are there?

Back

If the ratio is 4:1, then for every 1 cucumber, there are 4 tomatoes. Therefore, for 14 cucumbers, there are 14 x 4 = 56 tomatoes.

Front

What is the simplified form of the ratio 20:24?

Back

The simplified form of the ratio 20:24 is 5:6.

Front

How can you scale a recipe that has a ratio of 2 cups of flour to 1/2 cup of sugar to make a half batch?

Back

To make a half batch, you would use 1 cup of flour and 1/4 cup of sugar.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

If a ratio is expressed as 3:5, what does this mean in terms of parts?

Back

A ratio of 3:5 means that for every 3 parts of the first quantity, there are 5 parts of the second quantity.