Name_________________________________________________________
5.3
Date __________
Practice A
Write a proportion to find how many points a student needs to earn on the
test to get the given score.
1. test worth 70 points; test score of 90%
2. test worth 30 points; test score of 72%
Write a proportion to find how many free throws a player needs to get the
given score.
3. 15 free-throw attempts; free-throw score of 60%
4. 24 free-throw attempts; free-throw score of 75%
Use the table to write a proportion.
5.
August September
6.
Day 1 Day 2
Hurricanes
2
1
Wins
w
8
Storms
6
n
Races
21
12
7. The county requires 2 teachers for every 45 students. Write a proportion
that gives the number t of teachers needed for 315 students.
Solve the proportion.
8.
2
a

3
15
9.
4
44

7
m
10.
d
72

6
48
11. A paint color requires the ratio of green paint to yellow paint to be 4 : 9.
a. A container of this paint has 36 pints of yellow paint. Write a proportion
that gives the number g of pints of green paint in the container.
b. How many pints of green paint are in the container?
c. How many gallons of paint are in the container altogether?
12. An orchestra has 10 cellists.
a. There are 3 violin players for every cellist in the orchestra. How many
violin players are there?
b. There are 6 viola players for every 5 cellists in the orchestra. How many
viola players are there?
c. What is the ratio of viola players to violin players? Give your answer in
simplest form.
13. Give two possible pairs of values for p and q:
Copyright © Big Ideas Learning, LLC
All rights reserved.
2
p
 .
5
q
Big Ideas Math Red
Resources by Chapter
145
Name _________________________________________________________ Date _________
5.3
Practice A
Write a proportion to find how many points a student needs to earn on the
test to get the given score.
1. test worth 70 points; test score of 90%
2. test worth 30 points; test score of 72%
𝑝
90
𝑝
= 100
70
72
= 100
30
Write a proportion to find how many free throws a player needs to get the
given score.
3. 15 free-throw attempts; free-throw score of 60%
4. 24 free-throw attempts; free-throw score of 75%
𝑓
15
𝑓
24
60
= 100
75
= 100
Use the table to write a proportion.
5.
August September
6.
Day 1 Day 2
Hurricanes
2
1
Wins
w
8
Storms
6
n
Races
21
12
2 ℎ𝑢𝑟𝑟𝑖𝑐𝑎𝑛𝑒𝑠
1 ℎ𝑢𝑟𝑟𝑖𝑐𝑎𝑛𝑒
𝑤 𝑤𝑖𝑛𝑠
8 𝑤𝑖𝑛𝑠
= 𝑛 𝑠𝑡𝑜𝑟𝑚𝑠
= 12 𝑟𝑎𝑐𝑒𝑠
6 𝑠𝑡𝑜𝑟𝑚𝑠
21 𝑟𝑎𝑐𝑒𝑠
7.The county requires 2 teachers for every 45 students. Write a proportion that
𝑡 𝑡𝑒𝑎𝑐ℎ𝑒𝑟𝑠
gives the number t of teachers needed for 315 students. 452 𝑡𝑒𝑎𝑐ℎ𝑒𝑟𝑠
=
𝑠𝑡𝑢𝑑𝑒𝑛𝑡𝑠
315 𝑠𝑡𝑢𝑑𝑒𝑛𝑡𝑠
Solve the proportion.
2
a
4
44
d
72



a = 10
9.
m = 77
10.
d=9
3
15
7
m
6
48
11. A paint color requires the ratio of green paint to yellow paint to be 4 : 9.
a. A container of this paint has 36 pints of yellow paint. Write a proportion
4
𝑔
that gives the number g of pints of green paint in the container. 9 = 36
b. How many pints of green paint are in the container? 16 pints
1
c. How many gallons of paint are in the container altogether? 6 gallons
2
12. An orchestra has 10 cellists.
a. There are 3 violin players for every cellist in the orchestra. How many
violin players are there? 30 violin players
b. There are 6 viola players for every 5 cellists in the orchestra. How many
viola players are there? 12 viola players
c. What is the ratio of viola players to violin players? Give your answer in
2
simplest form. 5
2
p
 . p = 4 & q = 10; p =
13. Give two possible pairs of values for p and q:
5
q
8 & q = 20 other answers are possible.
8.
146 Big Ideas Math Red
Resources by Chapter
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All rights reserved.