Ratios
Unit Rate
Rates
Solving Problems
100

plates to cups is an example of what type of ratio?

A part-to-part ratio.

100

George read 126 pages of a book in 18 minutes. How many pages did he read in 1 minute?

7 pages per minute.

100

Ari can walk 2 miles in 40 minutes. What is the amount of time it will take him to walk 4 miles?

It will take him 80 minutes to walk 4 miles.

100

Christina biked 36 miles in 6 hours. If she biked at a constant speed, how many miles did she ride in one hour?

6 miles per hour.

200

The recipe calls for 2 eggs for every 8 cups of flour. How many eggs are needed with 40 cups of flour?

10 eggs.

200

How is a unit rate different than a regular rate?

A unit rate has a unit represented as "1" compared to the other unit.

200

5 shovels of sand are mixed with 4 shovels of gravel to make cement. What is the number of shovels of gravel needed for 45 shovels of sand?

36 shovels of gravel.

200

Tara can type 180 words in 4 minutes. At this rate, how many words can she type in
10 minutes?

450 words per 10 minutes.

300

There are 40 rabbits in a cage. The ratio of white rabbits to grey rabbits is 3:7. How many white rabbits are in the cage?

12 white rabbits

300

Hillary earned $45 babysitting. If she babysat for 6 hours, what was her rate per hour?

$7.50 per hour

300

Ivy's Fresh Eggs transports its eggs in crates. It takes 2 trucks to carry 80 crates. What is the number of crates that 5 trucks can carry.

200 crates in 5 trucks.

300

Ava can swim 70 yards in 2 minutes. At this rate, how many yards would you expect her to swim in 5 minutes?  

175 yards in 5 minutes.

400

The manager at a car dealership determines that an average of 120 vehicles is sold each month. If 2 out of 3 vehicles sold are SUVs, how many SUVs are sold each month?

80 of the vehicles are SUV's.

400

The science materials cost $65.70 to do the experiment. If 9 students participated in the experiment, what was the unit cost per student if they were splitting the cost of the materials?

$7.30

400

30 buses can carry 1500 people. What is the number of people that can be carried by 5 buses?

250 people

400

A group hiked 760 meters in 8 minutes. At this rate, how many meters would you expect its members to hike in 20 minutes?

1900 meters in 20 minutes

500

In a survey, the ratio of students who prefer muffins to bagels is 4 to 5. If the number of students surveyed who prefer muffins is 420, how many prefer bagels?

525 students prefer bagels.

500

The toys cost $79.95 for 5 models at Target and $95.94 for 6 models at Kohls. If Nicholas wants the best price, which store should he purchase the model toys at? (He isn't sure how many he wants to buy)

He can buy them at either store because each store has the same unit rate of $15.99 per model toy.

500

Melissa is buying party favors to make gift bags. Supplies Unlimited sells a 5-pack of favors for $11.25 and Parties and More sells a 3-pack of favors for $8.25. At these rates, how much will she save if she buys 15 favors from Supplies Unlimited than Parties and More?

She will spend $7.50 more.

500

Al’s Bowling Center offers its customers
1 game for $4.40 or 2 games for $8.40. The games can be played by one bowler or by a group of bowlers. If a group wants to play
4 games, how much more will they spend by buying the games one at a time instead of buying the 2-game packs?

They will spend an extra $0.80.

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