Name ____________________________ Date ________ Period _____
Unit 4: Ratios and Rates – Equivalent Ratios (B)
Read each question carefully. When writing ratios based on word
problems, be sure to begin with a word ratio. All work should be done in
your math notebook.
Express the ratio in simplest form. Remember to convert all measurements into
like terms.
1. 36 : 20
4. 9 yards : 9 feet
2. 24 : 64
5. 20 weeks : 14 days
3. 45 : 90
6. 32 ounces : 8 pints
State whether each pair of ratios are equivalent.
7. 13 : 15 and 30 : 26
8. 54 : 18 and 18 : 6
Find the missing term of each pair of equivalent ratios.
9. 9 : 13 = 27 : _____
13. 84 : 36 = _____ : 3
10. 6 : 11 = 42 : _____
14. 76 : 48 = _____ : 12
11. 12 : 7 = _____ : 56
15. 96 : 160 = 3 : _____
12. 3 : 8 = _____ : 72
16. 65 : 90 = _____ : 18
Find the equivalent ratios.
17. Use division to find all the
whole number ratios
equivalent to 56 : 24. (You
should be able to make 3)
18. Use multiplication to find three
ratios equivalent
to 5 : 11.
Solve.
19. The ratio of the length to the height of the American flag is 3 : 2.
a. Complete the table.
b. If the length of the American flag is 1.8 yards, find the height.
(You must convert the yards to inches first and then use equivalent ratios)
20. Nicole uses 5 ounces of mushrooms, 2 ounces of butter, and pint of cream
to make mushroom soup. (Remember to change the pints to ounces)
a. Find the ratio of the number of ounces of mushrooms to the number of
ounces of butter to the number of ounces of cream.
b. If Nicole uses 15 ounces of mushrooms, how many pints of cream does
she use?
c. If Nicole uses 1 pint of cream, how many ounces of butter does she
use?
21. Asha mixes 50 milliliters of yogurt, 100 grams of fruit, and 250 milliliters of
milk to make a regular smoothie.
a. What is the ratio of the amount of yogurt to the amount of fruit to the
amount of milk?
b. If Asha has 1 liter of milk, how many regular smoothies can she make?
c. Asha wants to make regular smoothies for herself, her two friends, and
a small smoothie that is half the size of a regular smoothie for her
younger brother. How much yogurt, fruit, and milk will she need?