Math Worksheet - Grade 7 Page 32

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th
7
Grade Honors
Unit: Knowledge of Number Relationships & Computation
Objective: Determine or use ratios, unit rates, and percents in the context of the problem. - B
Examples:
8
10
Solving Proportions: Solve
=
a
15
PERCENT PROPORTION / EQUATION
8 x 15 = a x 10
120 = 10a
part
(is)
%
120 ÷ 10 = 10 a ÷ 10
=
total
(of)
100
12
= a
Sometimes Proportions involve Percents. In this case, we use the PERCENT PROPORTION.
600 is what percent of 750?
Chad’s football team played 25 games. They won 68% of them.
How many games did the team win?
n
600
=
68
%
x
100
750
Use the percent proportion:
=
100
25
n x 750 = 600 x 100
Cross multiply:
68 x 25 = 100 x
Solve
1700 = 100 x
750 n = 60000
100
100
750
750
x = 17
Answer: Chad’s football team won 17 out of 25 games.
n = 80%
1.) It is recommended that for every 8 square feet of
2.) An 8-ounce glass of Orange juice contains 72
surface, a pond should have 2 fish. A pond that has a
milligrams of vitamin C. How much juice contains 36
surface of 72 square feet should contain how many fish?
milligrams of vitamin C?
3.) 9 is what percent of 30?
4.) What percent of 56 is 14?
5.) Kristen and Melissa spent 35% of their $32.00 on
6.) Jake’s club has 35 members. Its rules require that
movie tickets. How much money did they spend?
60% of them must be present for any vote. At least how
many members must be present to have a vote?

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