Ratios and Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing the relative size of one quantity to another.

Front

How do you calculate the number of items sold based on a given ratio?

Back

To calculate the number of items sold based on a given ratio, set up a proportion using the ratio and the known quantity, then solve for the unknown.

Front

If the ratio of ice cream cones to brownies is 5:3, how many ice cream cones are sold if 24 brownies are sold?

Back

40 ice cream cones are sold.

Front

What does it mean if two ratios are equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they can be simplified to the same fraction.

Front

Which of the following ratios is equivalent to 3:5? 6:10, 21:28, or 9:15?

Back

6:10 and 9:15 are equivalent to 3:5, while 21:28 is not.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first quantity as the numerator and the second quantity as the denominator.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

If a car travels 50 miles in 40 minutes, what is the speed in miles per minute?

Back

The speed is 1.25 miles per minute.

Front

How can you find the expected number of items in a larger group based on a ratio?

Back

Multiply the total number of items in the larger group by the ratio's fraction.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.