Ratios and Unit Rates

Parts/More/Total

100

The ratio of red marbles to green marbles is 5:3. There are 60 red marbles. How many green marbles are there?

36 green marbles

200

The ratio of large stickers to small stickers is 4:7. There are 56 large stickers. How many small stickers are there?

98 small stickers

300

At a bookstore, the ratio of hardcover books to paperback books is 7:2. There are 45 more hardcover books than paperback books. How many paperback books are there?

18 paperback books

400

In a classroom, the ratio of blue notebooks to red notebooks is 4:5. There are 270 notebooks total. How many blue notebooks and how many red notebooks are there?

120 blue

150 red

500

In a science lab, the ratio of beakers to test tubes is 8:5. There are 63 more beakers than test tubes. How many beakers and how many test tubes are there?

168 beakers

105 test tubes

Unit Rate

100

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

What is 25 miles per hour

200

If James types 120 words per 3 minutes, what is his rate of typing?

What is 40 words per minute

300

If 10 bags of Hot Cheetos cost $3.50, then how much does 1 cost?

What is $0.35

400

Which is the better deal $20 for 5 t-shirts or $24 for 8 t-shirts

What is $24 for 8 t-shirts (rate of $3 per shirt)

500

A snack bar is selling granola bars in two different packages.

• Option A: 8 granola bars for $6.40

• Option B: 12 granola bars for $10.20

Which option is the better deal? Explain how you know

Option A

A cost $0.80/bar

B cost $0.85/bar

Equivalent or Not?

100

2/3 and 4/6

Yes, proportional, 2 x 6 = 12, 3 x 4 = 12

200

Are 1/6 and 2/7 proportional?

Not Proportional, 1 x 7 = 7 and 2 x 6 = 12

300

Are 6/8 and 9/12 proportional?

Yes proportional, 6 x 12 = 72, and 9 x 8 = 72

400

Are 5/10 and 4/8 proportional?

Yes proportional, 5 x 8 = 40, 10 x 4 = 40

500

12/20 and 3/10

Not proportional, 12 x 10 = 120, 20 x 3 = 60

Solving Equivalent Ratios

100

x/6 = 8/12

What is 4

200

x/2 = 9/6

What is 3

300

3/8 = 84/x

What is 224

400

4/16 = x/36

What is 9

500

x/6 = 6/9

What is 4

Word Problems

100

Anna earns $12 in 3 hours. How much does she make in 5 hours?

What is $20

200

Ms. Curtis students study 25 hours for 2 tests, If they study for 100 hours, how many tests do they have?

8 tests

300

Henry reads 8 pages in 6 minutes, then he reads 4 pages in how many minutes?

What is 3 minutes

400

Julia texts 60 words in 4 minutes, then she texts 45 words in how many minutes?

What is 3 minutes

500

Ramon gets 10 points in 4 games. How many does he get in 6 games?

What is 15 points