Ratio and Rates Review

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', 'a:b', or 'a/b'.

Front

How can you express the ratio of 12 cats to 20 dogs?

Back

You can express it as 12 to 20, 12:20, or 12/20.

Front

If a bookstore sells 15 pencils and the ratio of pencils to pens is 15:10, what is the ratio of pencils to pens as a fraction?

Back

The ratio of pencils to pens as a fraction is 15/10.

Front

What does it mean if one store offers a cheaper cost per item than another?

Back

It means that the price per item is lower at that store, making it a better deal for consumers.

Front

If a teacher pays $2.5 per book, how much would 4 books cost?

Back

4 books would cost $10 (4 x $2.5).

Front

What is the purpose of comparing ratios in different classes?

Back

To determine which classes have the same proportion of boys to girls, helping to understand gender distribution.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or cost per item.

Front

How do you find the unit rate from a ratio?

Back

To find the unit rate, divide both quantities in the ratio by the same number to express it per one unit of the first quantity.

Front

If a recipe calls for a ratio of 2 cups of flour to 3 cups of sugar, how much sugar is needed for 4 cups of flour?

Back

For 4 cups of flour, you would need 6 cups of sugar (4 cups flour x (3 cups sugar / 2 cups flour)).

Front

What is the relationship between ratios and proportions?

Back

A proportion states that two ratios are equal, showing that two different comparisons are equivalent.