Equivalent Rates
Ellie gets 10 points in 4 games. How many does she get in 6 games?
15 points
Given: 3/4 cups of sugar to 1/8 cups of butter
How many cups of sugar for each cup of butter?
6 cups
A turtle crawls 5/6 of a mile in 1/3 of an hour. How far will the turtle crawl in 2 hours?
5 miles
A printer can print 87.5 pages in 5 minutes. What is the unit rate in pages per minute?
17.5 pages per minute
Abbie earns $51.25 in 5 hours. How much does she make in 5 hours?
$51.25
Audrey reads 4 pages in 3 minutes. How many minutes will it take her to read 8 pages?
Hint: Comparing rates using a chart; remember the rabbit and rat.
6 minutes
Given: 3/5 mile to 1/3 hours
What is the miles per hour?
1 4/5 mph
A machine fills 7/8 of a gallon in 1/4 a minute. How many gallons will the machine fill in 5 minutes?
17.5 gallons
A car travels 142.8 miles in 3 hours. What is the speed in miles per hour?
47.6 miles per hour.
A.J. is baking shortbread for a bake sale. The recipe calls for 1 1/4 cups of flour and 1/2 stick of butter. How many cups of flour will A.J. need if she uses 3 sticks of butter?
7 1/2 cups of flour
A.J. and Audrey drive trucks for a produce company. One day, A.J. drove 102 miles in 1 1/21 hours. Audrey drove 54 miles in 3/4 hour. Who drove at a faster rate?
A.J.: 68 mph
Audrey: 72 mph
Audrey drove faster.
Given: 7 miles for 1/3 gallons
What is the miles per gallon?
21 miles/gallon
A baker uses 2/3 of a cup of sugar to make 1/2 of a batch of cookies. How much sugar is needed for 3 full batches?
4 cups of sugar
Liv tosses her crutches and hops for 6.25 miles in 1.25 hours. What is the unit rate in miles per hour?
5 miles
A box of cereal states that there are 90 calories in a 3/4 cup serving. How many calories are there in 4 cups of cereal?
480 calories
Kennedy runs 3/4 of a mile in 1/6 of an hour, and Harper runs 2/3 of a mile in 1/5 of an hour. Who runs faster?
Kennedy: 4.5 miles
Harper: 3.3... miles
Kennedy runs faster.
Given: 3/4 of a page in 2 minutes.
How much of the page is read in 1 minute?
3/8 of the page
A swimmer completes 3/5 of a lap in 2/15 of a minute. How many laps will the swimmer complete in 1.5 minutes?
6.75 laps
A faucet leaks 0.36 gallons of water in 9 minutes. How many gallons does it leak after 5 minutes?
0.2 gallons
Karlee is training for a bike race. She rides 3/4\ of a mile in 1/6 of an hour.
A) At this pace, how many miles does she ride in one hour?
B) How far will she ride in 3 hours?
A) 4.5 miles per hours
B) 13.5 miles
Liana paints 5/6 of a wall in 1/2 hour, and Abbie paints 3/4 of a wall in 1/3 hour.
Question: Who paints more wall per hour?
Liana: 1 2/3 walls per hour
Abbie: 2 1/4 walls per hour
Abbie is faster.
Given: 2/3 mile in 1/4 hour
What is the miles per hour?
2 2/3 mph
A gardener plants 9/10 of a row in 3/5 of an hour. How many rows can the gardener plant in 4 hours?
6 rows
Harper buys 2.4 pounds of apples for $4.92. How much will it cost if she buys 3 pounds?
$6.15
Liana drives 9 miles to her friend’s house in 16 hour. How fast does Liana drive, in miles per hour? If she drives at this rate for 2 hours, how far does she drive?
54 miles per hour; 108 miles