Ratios and Rates

GCF

100

15, 20

5

200

30, 48, 60

6

300

24, 30, 42

6

400

24, 48, 60

12

500

A grocery store clerk has 16 oranges, 20 apples, and 24 pears. The clerk needs to put an equal number of apples, oranges, and pears into each basket. What is the greatest number of baskets that can be made so that no fruit is left?

4 baskets

LCM

100

3 and 5

15

200

12 and 18

36

300

5, 10, and 15

30

400

9, 12, and 15

180

500

Drusilla replaces the light bulb in the hall closet every 9 months and replaces the air filter every 3 months. She just replaced both items this month. How long will it be until she replaces both at the same time again?

9 months

Unit Rates

100

Davis printed 24 photos in 8 minutes. How many photos did he print per minute?

3 photos per minute

200

Carrie planted 48 tulips in 12 minutes. How many tulips did she plant per minute?

4 tulips per minute

300

Alana biked 45 miles in 3 hours. How many miles did she bike per hour?

15 miles per hour

400

A Ruby Throated Hummingbird beats its wings 159 times in 3 seconds. How many times does the Ruby Throated Hummingbird beat its wings per second?

53 beats per second

500

An adult blinks about 450 times in 30 minutes. A 12-year-old blinks about 150 times in 15 minutes. How many more times does an adult blink in 60 minutes than a 12-year-old?

300 blinks

Equivalent Ratios (1)

100

A zoo requires that 1 adult accompany every 7 students that visit the zoo. How many adults would be needed to accompany 28 students?

4 adults

200

Valentina purchased 200 beads for $48 to make necklaces. If she needs to buy 25 more beads, how much will she pay if she is charged the same rate?

$6

300

A survey reported that out of 50 teenagers, 9 said they get their news from a newspaper. At this rate, how many out of 300 teenagers would you expect to get their news from a newspaper. 

54 students

400

If 15 baseballs weigh 75 ounces, how many baseballs weigh 15 ounces?

3 baseballs

500

For a store contest, 4 out of every 65 people who visit the store will receive a free DVD, if 455 people visit the store, how many DVDs will be given away?

28 DVDs

Equivalent Ratios (2)

100

Nata spent $28 on 2 DVDs. At this rate, how much would 5 DVDs cost?

$70

200

Four students spent $12 on lunch. At this rate, how much would ten students spend?

$30

300

Liliana takes 4 breaths per 10 seconds during yoga. At this rate, how many breaths would she take in 2 minutes of yoga?

48 breaths

400

When a photo is reduced or enlarged, its length to width ratio usually remains the same. Aurelia wants to enlarge a 4 inch by 6 inch photo so that it has a length of 15 inches. What would the length be in this photo?

10 inches

500

Landon owns a hybrid SUV that can travel 400 miles on a 15-gallon tank of gas. Determine how many miles he can travel on 6 gallons

160 miles