Ratios and Rates

Ratios (SIMPLIFY)

100

There are 16 girls to 20 boys. What is the ratio ?

4:5

DOUBLE

200

Ryan has 25 red M&Ms and 15 green M&Ms, what is the ratio of red to green?

What is 5:3

300

The ratio of catfish to trout in Aaron's pond is 1 to 3. If there are 200 catfish in the pond, how many trout are there?

600

400

In Karmen's math class, there are 12 boys and 15 girls. What is the ratio of girls to boys in Karmen's math class?

5:4

500

If the ratio of chairs to desk in a room is 2:3, and there are 18 desks. How many chairs are there?

12 chairs

Rates

100

Skylah can choose 3 apple pies for $9 or 6 apple pies for $19. Which is the better deal?

3 Apple pies

SWITCHAROO

200

A window washer cleans 38 windows in 2 hours. At this rate, how many windows will she clean in 7 hours?

133 windows

300

There are 176 slices of bread in 8 loaves. Using the same rate, how many slices of bread are in 5 loaves?

110 slices of bread

400

Tristian sold 147 bags of popcorn and 216 bottles of water in 3 days. At this rate, how many more bottles of water than bags of popcorn will Tristian sell in 5 days?

115 more bottles of water

500

Justin pays $550 for 12 months of guitar lessons. At this rate, how much will Justin pay for 3 years of guitar lessons?

$1650 for 3 years of lessons

Unit Rate

100

If Cheyenne drives 50 miles in 2 hours, what is her rate (speed per hour).

What is 25 miles per hour.

SWITCHAROO

200

Jhase bought a package of three T-shirts for $18.00 What is the unit price per T-shirt? 

$6.00

300

If Caylee bought 10 bags of hot cheetos for $3.50, then how much does 1 bag cost?

What is $0.35

DOUBLE

400

Brooklyn bought a 5-pound can of peanuts for $12.50. What is the unit price?

$2.50

500

Aubree bought a box of 20 large pretzels for $4.40. What is the price per pretzel?

$0.22

Equivalent Ratios

100

Determine if each pair of ratios or rates is equivalent. $3 for 6 bagels; $9 for 24 bagels

No; since the unit rates $0.50/1 bagel and $0.38/1 bagel, are not the same, the rates are not equivalent.

DOUBLE

200

Determine if each pair of ratios or rates is equivalent. 96 words typed in 3 minutes; 160 words typed in 5 minutes.

Yes; since the unit rates are the same, 32 words/1 minute, the rates are equivalent.

300

Determine if each pair of ratios or rates is equivalent. 288 miles on 12 gallons of fuel; 240 miles on 10 gallons of fuel.

Yes; since the ratios share the same unit rate, the number of miles driven and the number of gallons of fuel form equivalent ratios.

400

Determine if each pair of ratios or rates is equivalent. 16 out of 28 students own pets; 240 out of 560 students own pets

No the ratios are not equivalent.

500

Determine if each pair of ratios or rates is equivalent. 8 pairs of socks for $12; 3 pairs of socks for $6

No the ratios are not equivalent.

Vocabulary

100

A comparison of two numbers.

Ratio

SWITCHAROO

200

a ratio comparing two different units

Rate

300

a rate where one value is equal to one

Unit Rate

400

two ratios that can be divided or multiplied to the same number

Equivalent Ratios

500

How do you know if a graph is proportional?

Straight line

Line goes through the origin

Conversions

100

3 quarts = ____ gallons

3/4 or 0.75 

200

3,450 mL = ____ L

3.45

300

William bought a piece of wood that is 3 feet long. He cuts it into two pieces. One piece is 14 inches long. How long is the other piece?

1 foot and 10 inches or 22 inches

400

A computer disk has a mass of 20 g. How many of these disks would you need to equal a total mass of 1 kg?

50 disks

500

If a car is traveling at a speed of 40 kilometers per hour, what is its approximate rate in meters per minute?

About 667 meters per minute