Ratios
Unit Rate
Proportions
Solve proportions
Word Problems
1

Write the ratio as a fraction in simplest form: 8 to 30

4/15

1

410 miles in 16 gallons

25.63 miles/gallon

1

Do each pair of ratios form a proportion? 2/3 and 6/9

Yes. (18 = 18)

1

n/12 = 6/18

n = 4

1

Julie was able to walk 16 miles through the park in 6 hours. How long will it take her to walk 24 miles through the park?

9 hours

2

Write the ratio as a fraction in simplest form:  54:27

2/1

2

1500 words in 25 minutes

60 words per minute

2

Do the ratios form proportions? 5/4 and 25/16

No (80;100)

2

c/28 = 5/7

c = 20

2

The ratio of vanilla pudding to chocolate pudding in a banana split pie is 4 to 3. Olivia has 64 oz of vanilla pudding. How much chocolate pudding does she need?

48 ounces.

3

Write the ratio as a fraction in simplest form: 66 inches to 72 inches

11/12

3

$1.12 for 8.2 ounces

$0.14 per ounce

3

Do the ratios form proportions? $8/20 lbs and $24/60 lbs

Yes (480 = 480)

3

2/x = 7/9

x = 2.57

3

If there are 1200 calories in an 8 oz piece of cheesecake, how many calories are in a 3 oz piece of cheesecake?

450 calories

4

There are a total of 300 students in 7th grade. If 180 of the students are girls, write the ratio of girls to boys in 8th grade.

3/2

3:2

4

Which is the better buy? $3.29 for a 16-ounce bag of candy $2.99 for a 12-ounce bag of candy

$3.99 for 16-ounce bag = $0.21 per ounce

4

Do the ratios form proportions? 5 ft/7 s and 25 ft/ 49 s

No 

4

30/14 = k/1.54

k = 3.3

4

Annie bought 3 bags of special candy for $1.20. How much do 8 bags of candy cost?

$3.20

5

Write the ratio as a fraction in simplest form 30 seconds to 5 minutes

6/1


5

Ethan can buy 4 CDs for $71.96 at CD Express or 9 CDs for $134.55 at Music Rox. Which has the better unit cost? How much is he saving per CD?.

Music Rox has the better buy (14.95 per CD). Ethan saved $3.04 per CD.

5

Do the ratios form proportions? 21 mi/6 h and 14.3 mi/ 3 hr

No (63;85.8)

5

380/520 = 760/x

x = 1040

5

The moats separating the people from the animals are 5 m wide for bears and 4 m wide for leopards. If the bears' moats is 4 m deep, how deep should the leopards' moat be?

3.2 m for the leopards