Ratios and Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

How do you write a ratio?

Back

Ratios can be written in three ways: using a colon (e.g., 3:2), as a fraction (e.g., 3/2), or with the word 'to' (e.g., 3 to 2).

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as speed (miles per hour) or price (cost per item).

Front

If 10 glasses cost $80, what is the cost of one glass?

Back

$8 (Cost of one glass = Total cost / Number of glasses = $80 / 10).

Front

If 6 cupcakes cost $36, what is the cost of 12 cupcakes?

Back

$72 (Cost of 12 cupcakes = Cost of 6 cupcakes x 2 = $36 x 2).

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second term is 1, showing the amount of one quantity per one unit of another.

Front

How do you find a missing value in a ratio?

Back

To find a missing value in a ratio, set up a proportion and cross-multiply to solve for the unknown.

Front

What is the ratio of apples to pears if there are 6 apples and 3 pears?

Back

The ratio of apples to pears is 6 to 3, which can be simplified to 2 to 1.

Front

If 4 movie tickets cost $28, how much does one ticket cost?

Back

$7 (Cost of one ticket = Total cost / Number of tickets = $28 / 4).

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.