Problem Solving with Unit Rates

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something, such as miles per hour or cost per item.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units. For example, if you have 10 apples for $5, the unit rate is $5 ÷ 10 apples = $0.50 per apple.

Front

If Duncan learned to play 12 pieces in 6 weeks, how many pieces does he learn per week?

Back

Duncan learns 12 pieces ÷ 6 weeks = 2 pieces per week.

Front

If Malia prepared 10 kilograms of dough in 2 hours, what is her rate of dough preparation per hour?

Back

Malia's rate is 10 kg ÷ 2 hours = 5 kg per hour.

Front

How many phone calls does Vicky route in 1 minute if she spent 12 minutes on 4 calls?

Back

Vicky routes 4 calls ÷ 12 minutes = 1/3 call per minute.

Front

If Jane ran 8 miles in 4 practices, how many miles does she run per practice?

Back

Jane runs 8 miles ÷ 4 practices = 2 miles per practice.

Front

What is the unit rate of knitting for Nila if she knit 9 centimeters in 3 nights?

Back

Nila's unit rate is 9 cm ÷ 3 nights = 3 cm per night.

Front

If it takes Duncan 6 weeks to learn 12 pieces, how many weeks will it take to learn 14 pieces?

Back

It will take Duncan 7 weeks to learn 14 pieces.

Front

If Malia prepared 20 kilograms of dough, how many hours did she work if her rate is 5 kg per hour?

Back

Malia worked 20 kg ÷ 5 kg/hour = 4 hours.

Front

If Vicky wants to spend 15 minutes on the phone, how many calls will she route if she routes 4 calls in 12 minutes?

Back

Vicky will route 5 calls to spend 15 minutes on the phone.