Calculate Rates and Ratios

Front

What is a rate?

Back

A rate is a ratio that compares two different kinds of quantities, often expressed as a fraction. For example, speed is a rate that compares distance to time.

Front

What is a ratio?

Back

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

Front

How do you calculate the price per item?

Back

To calculate the price per item, divide the total cost by the number of items. For example, if 4 tickets cost $252, the price per ticket is $252 ÷ 4 = $63.

Front

What is the formula to find equivalent ratios?

Back

To find equivalent ratios, multiply or divide both terms of the ratio by the same non-zero number. For example, the ratio 2:3 is equivalent to 4:6.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD). For example, to simplify 35:14, divide both by 7 to get 5:2.

Front

What is the relationship between rates and ratios?

Back

Rates are a specific type of ratio that compares two different units, while ratios can compare any two quantities.

Front

How can you determine which option is a better deal?

Back

To determine which option is a better deal, calculate the unit price (price per ounce or item) for each option and compare them.

Front

If a person jogs 2,000 feet in 4 minutes, how far will they jog in 8 minutes at the same rate?

Back

They will jog 4,000 feet in 8 minutes, as the rate remains constant.

Front

What is the unit price of Doritos if they cost $4.39 for 11.5 oz?

Back

The unit price is $4.39 ÷ 11.5 oz = approximately $0.38 per ounce.

Front

What is an equivalent ratio for 35:50?

Back

An equivalent ratio for 35:50 is 7:10, found by dividing both terms by 5.