Comparing Rates

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

How do you calculate profit sharing based on ratios?

Back

To calculate profit sharing based on ratios, first find the total parts of the ratio, then divide the total profit by the total parts to find the value of one part, and finally multiply by the number of parts each person has.

Front

If Abbey, Brad, and Cloe invested in a business in the ratio of 2:3:5, how many total parts are there?

Back

There are 10 total parts (2 + 3 + 5 = 10).

Front

How much profit does each part represent if the total profit is $2000?

Back

Each part represents $200 ($2000 ÷ 10 = $200).

Front

How much profit does Cloe receive if she has 5 parts in a profit-sharing ratio of 2:3:5?

Back

Cloe receives $1000 (5 parts × $200 per part = $1000).

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 of one.

Front

If a 12-ounce bottle of shampoo lasts 16 weeks, what is the unit rate of shampoo per week?

Back

The unit rate is 0.75 ounces per week (12 ounces ÷ 16 weeks = 0.75 ounces/week).

Front

How do you find the expected duration of a larger quantity based on a smaller quantity's duration?

Back

To find the expected duration, calculate the unit rate for the smaller quantity and then multiply by the larger quantity.

Front

If Jose swims 3 laps in 2 minutes, how many laps can he swim in 1 minute?

Back

Jose can swim 1.5 laps in 1 minute (3 laps ÷ 2 minutes = 1.5 laps/minute).

Front

How long will it take Jose to swim 27 laps if he swims at a rate of 1.5 laps per minute?

Back

It will take Jose 18 minutes (27 laps ÷ 1.5 laps/minute = 18 minutes).