Creating
Equivalent Ratios
Finding Unit Rate
Finding Percentages
____ is _____% of what number?
Vocabulary Terms
100
Anna was making cupcakes. She used the ratio 3 cups to 1 teaspoon to represent flour to vanilla. If Anna wants to make 3 batches, what will her ratio of flour to vanilla be?

9:3

100

Lin runs 5 laps around a track in 6 minutes. How many minutes per lap is that?

Any of the following are correct:

6/5

1 and 1/5

1.2

100

There are 15 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples?

A. 0.06%

B. 0.4%

C. 6%

D. 40%

D. 40%

6 divided by 15 is 0.4, which is 40%. 

100

12 is 20% of what number?

60

100

for each 100

percent

200

Carl found that the ratio of boys to girls on his soccer team was 7:8. Find another ratio that is equivalent to 7:8. 

Answers may vary. 

Sample answers: 14:16, 21:28, 35:40, 70:80, 77:88, 700:800.

200

Lin runs 5 laps in 6 minutes. How many laps per minute is that?

Any of the following are correct:

5/6

0.83

200

There are 9 children in a class who take the bus to school, and there are 15 total children in the class. What percentage of students in the class take the bus to school?

A. 90%

B. 60%

C. 9%

D. 0.6%

B. 60%

9 divided by 15 equals 0.6, therefore 60% of the students take the bus to school. 

200

4 is 80% of what number?

5

200

a rate per 100

percentage

300

At the football game, the concession stand workers use the ratio 2:1 for the chips to cheese sauce in the nachos. If they make 30 orders of nachos, what is the ratio of the total chips to cheese sauce?

60:30

300

Diego went to a taco shop and bought 14 tacos for $12.75. How much is 1 taco?

$0.91

300

Lance has 35 video games in his collection. 4 of his games are Call of Duty games. What percentage of his total collection are Call of Duty games?

11%

4 divided by 35 equals 0.11, so his Call of Duty games are 11% of his total collection.

300

42 is 75% of what number?

56

300

a rate per 1

unit rate

400

Karen was shopping and noticed that the ratio of red shirts to blue shirts on the rack was 5:4. List another ratio that is equivalent to 5:4. 

Answers may vary. 

Sample answers: 10:8, 15:12, 20:16, 25:20, 50:40, 500:400

400

Harley went shopping and found a deal where she can buy 4 shirts for $32.95. What is the cost per shirt?

$8.24

400

Rachel has 40 pairs of shoes in her closet. 12 are heels, 10 are sandals, 3 are sneakers, 5 are boots, and 10 are flats. What percent of all of Rachel's shoes are her heels?

30%

12 divided by 40 is 0.3, so her heels make up 30% of all of her shoes. 

400

36 is 20% of what number?

180

400

for each

per

500

Max counted the trading cards in his collection. He has 30 baseball cards, 45 football cards, and 18 soccer cards. Find an equivalent ratio to represent the number of baseball cards to all cards in his collection. 

Answers may vary but should be equivalent to 30:93.

Sample answers: 10:31, 60:186

500

At the grocery store, one brand of soup costs $1.24 for a 12 ounce can. Another brand costs $3.03 for a 32 ounce can. Which is the better buy, the 12 ounce can or the 32 ounce can?

The 12 ounce can costs $0.10 per ounce and the 32 ounce can costs $0.09 per ounce, so the 32 ounce can is a better deal.

500

Carmen went for a jog every day this week. The miles she jogged each day are as follows: 

Monday: 3 miles

Tuesday: 3 miles

Wednesday: 4 miles

Thursday: 4 miles

Friday: 5 miles

What percentage of her total miles for the week was Thursday's jog?

21%

4 divided by 19 equals 0.21, so Thursday's jog was 21% of her entire weekly miles. 

500

48 is 120% of what number?

40

500

two situations that have equivalent ratios

same rate