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90 is 150% of what number?

90 n = 150 100

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77 is 110% of what number?

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What percent of 85 is 17 ?

17 85 = p 100

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What percent of 92 is 46 ?

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What percent of 260 is 340 ?

340 260 = p 100

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What percent of 180 is 220 ?

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Translate and Solve Percent Proportions

In the following exercises, translate and solve using proportions.

What number is 65% of 180 ?

117

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What number is 55% of 300 ?

165

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18% of 92 is what number?

16.56

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22% of 74 is what number?

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175% of 26 is what number?

45.5

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250% of 61 is what number?

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What is 300% of 488 ?

1464

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17% of what number is $7.65 ?

$45

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19% of what number is $6.46 ?

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$13.53 is 8.25% of what number?

$164

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$18.12 is 7.55% of what number?

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What percent of 56 is 14 ?

25%

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What percent of 80 is 28 ?

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What percent of 96 is 12 ?

12.5%

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What percent of 120 is 27 ?

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Everyday math

Mixing a concentrate Sam bought a large bottle of concentrated cleaning solution at the warehouse store. He must mix the concentrate with water to make a solution for washing his windows. The directions tell him to mix 3 ounces of concentrate with 5 ounces of water. If he puts 12 ounces of concentrate in a bucket, how many ounces of water should he add? How many ounces of the solution will he have altogether?

20, 32

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Mixing a concentrate Travis is going to wash his car. The directions on the bottle of car wash concentrate say to mix 2 ounces of concentrate with 15 ounces of water. If Travis puts 6 ounces of concentrate in a bucket, how much water must he mix with the concentrate?

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Writing exercises

To solve “what number is 45% of 350 do you prefer to use an equation like you did in the section on Decimal Operations or a proportion like you did in this section? Explain your reason.

Answers will vary.

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To solve “what percent of 125 is 25 do you prefer to use an equation like you did in the section on Decimal Operations or a proportion like you did in this section? Explain your reason.

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Self check

After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

.

Overall, after looking at the checklist, do you think you are well-prepared for the next Chapter? Why or why not?

Understand Percent

In the following exercises, write each percent as a ratio.

32% admission rate for the university

32 100

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53.3% rate of college students with student loans

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In the following exercises, write as a ratio and then as a percent.

13 out of 100 architects are women.

13 100 , 13%

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9 out of every 100 nurses are men.

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In the following exercises, convert each percent to a fraction.

In the following exercises, convert each percent to a decimal.

In the following exercises, convert each percent to

  1. ⓐ a simplified fraction and
  2. ⓑ a decimal.

In 2012 , 13.5% of the United States population was age 65 or over. (Source: www.census.gov)

  1. 27 200
  2. 0.135

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In 2012 , 6.5% of the United States population was under 5 years old. (Source: www.census.gov)

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When a die is tossed, the probability it will land with an even number of dots on the top side is 50% .

  1. 1 2
  2. 0.5

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A couple plans to have three children. The probability they will all be girls is 12.5% .

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In the following exercises, convert each decimal to a percent.

Practice Key Terms 3

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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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