Comparing two quantities
Equivalent Ratios
Simplest Form
Harder Real World Problems
Word Problems
100

Joe bought 17 carrots and 12 potatoes. State the ratio of the number of carrots to the number of potatoes.

What is 17 : 12.

100
6 : 5 = ____ : 30
What is 36.
100
32 : 14
What is 16 : 7.
100

The ratio of the number of boys to the number of girls in a theater is 7 : 9. There are 12 more girls than boys in the theater. How many children are in the theater? (Hint: make equivalent fractions)

What is 96 children.

100

The ratio of red marbles to green marbles is 3:2. If there are 6 red marbles, how many green are there?

4

200
Keisha has 4 cups of orange juice and 11 cups of pineapple juice. State the ratio of the number of cups of orange juice to the total number of cup of juice.
What is 4 : 15.
200
63 : 90 = 7 : ___
What is 10.
200
54 : 88
What is 27 : 44.
200

A rope is cut into 3 pieces P, Q, and R. The lengths of the pieces are in the ratio 3 : 5 : 7. If the rope is 120 inches long, find the lengths of P, Q, and R.

What is P = 24, Q = 40, R = 56.

200

The ratio of boys to girls is 5:3. If there are 40 students total, how many boys are there.

25

300

The ratio of the length to the width of a rectangle is 15:8. How many times is the length as long as the width? Write your answer as a fraction

What is 1 7/8 times.

300
9 : 7 = ___ : 49
What is 63.
300
63 : 15
What is 21 : 5.
300

Alan, Gil, and Deb's point score in a video game was in the ratio 2 : 3 : 4. Deb scored 1144 points. How many points did Gil score?

What is 858.

300

There ratio of red apples to green apples is 8:5. What fraction of the apples are red?

8/13

400
The ratio of the number of fiction books to the number of reference books in a library is 9:5. What fraction of the books are reference books?
What is 5/14.
400
60 : 115 = 12 : ___
What is 23.
400
36 : 52
What is 9 : 13.
400

Alan, Gil, and Deb's point score in a video game was in the ratio 2 : 3 : 4. Deb scored 1144 points. How many points did they score in all?

What is 2574.

400

There ratio of red apples to green apples is 8:5. The red apples are how many times the green apples?

8/5

500
Alyce has 60 red marbles. Of the marbles, 45 are red and the rest are black. What is the ratio of the number of black marbles to the number of red marbles? (Hint: in simplest form)
What is 1 : 3.
500

A fox, a coyote, and a wolf weigh a total of 120 pounds. The ratio of the weight of the fox to the weight of the coyote is 3 : 8. The weight of the coyote is 32 pounds. What is the weight of the wolf?

What is 76 pounds.

500

The ratio of the number of teachers to students in a school is 3 : 35. The ratio of the number of male students to the number of female students is 2 : 5. There are 500 female students. How many teachers are there? (Hint: find total students first.

What is 60 teachers.

500

At a school event, there were 96 girls. The ratio of the number of girls to the number of boys was 4 : 5. After some time, some boys arrived and the ratio became 2 : 3. How many boys arrived?

What is 24 boys.

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