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 find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if 15 hamburgers cost $75, the unit rate is $75 ÷ 15 = $5 per hamburger.

Front

What is the unit rate of a 20-ounce box of cereal that costs $3.20?

Back

The unit rate is $3.20 ÷ 20 ounces = $0.16 per ounce.

Front

What is the unit rate of a 12-ounce box of cereal that costs $1.80?

Back

The unit rate is $1.80 ÷ 12 ounces = $0.15 per ounce.

Front

Which box of cereal is the better buy: 20-ounce for $3.20 or 12-ounce for $1.80?

Back

The 12-ounce box is the better buy because it has a lower unit rate of $0.15 per ounce.

Front

What is a rate?

Back

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

Front

What is the ratio of red apples to green apples if red apples cost $1.75 for 5 apples and green apples cost $1.92 for 6 apples?

Back

The ratio of red apples to green apples is 5:6.

Front

How do you determine if two ratios are equivalent?

Back

Two ratios are equivalent if they simplify to the same fraction or if their cross products are equal.

Front

Which of the following is NOT equivalent to 3:5? 15:25, 9:15, 21:28, 30:50

Back

21:28 is NOT equivalent to 3:5.

Front

What is the ratio of red marbles to yellow marbles if there are 2 red marbles and 5 yellow marbles?

Back

The ratio of red to yellow marbles is 2:5.