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Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith

Chapter 6

Percents

Educators


Problem 1

In the following exercises, write each percent as a ratio.
In 2014 , the unemployment rate for those with only a high school degree was 6.0$\%$

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Problem 2

In the following exercises, write each percent as a ratio.
In $2015,$ among the unemployed, 29$\%$ were long term unemployed.

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Problem 3

In the following exercises, write each percent as a ratio.
The unemployment rate for those with Bachelor's degrees was 3.2$\%$ in 2014 .

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Problem 4

In the following exercises, write each percent as a ratio.
The unemployment rate in Michigan in 2014 was 7.3$\%$

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Problem 5

In the following exercises, write as
(a) a ratio and (b) a percent

57 out of 100 nursing candidates received their degree at a community college.

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Problem 6

In the following exercises, write as
(a) a ratio and (b) a percent

80 out of 100 firefighters and law enforcement officers were educated at a community college.

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Problem 7

In the following exercises, write as
(a) a ratio and (b) a percent

42 out of 100 first-time freshmen students attend a community college.

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Problem 8

In the following exercises, write as
(a) a ratio and (b) a percent

71 out of 100 full-time community college faculty have a master's degree.

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Problem 9

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$4 \%$$

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Problem 10

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$8 \%$$

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Problem 11

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$17 \%$$

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Problem 12

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$19 \%$$

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Problem 13

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$52 \%$$

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Problem 14

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$78 \%$$

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Problem 15

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$125 \%$$

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Problem 16

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$135 \%$$

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Problem 17

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$37.5 \%$$

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Problem 18

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$42.5 \%$$

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Problem 19

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$18.4 \%$$

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Problem 20

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$46.4 \%$$

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Problem 21

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$9 \frac{1}{2} \%$$

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Problem 22

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$\frac{8 \frac{1}{2} \%}{2}$$

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Problem 23

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$5 \frac{1}{3} \%$$

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Problem 24

In the following exercises, convert each percent to a fraction and simplify all fractions.
$$6 \frac{2}{3} \%$$

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Problem 25

In the following exercises, convert each percent to a decimal.
$$5 \%$$

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Problem 26

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

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Problem 27

In the following exercises, convert each percent to a decimal.
$$9 \%$$

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Problem 28

In the following exercises, convert each percent to a decimal.
$$2 \%$$

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Problem 29

In the following exercises, convert each percent to a decimal.
$$63 \%$$

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Problem 30

In the following exercises, convert each percent to a decimal.
$$71 \%$$

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Problem 31

In the following exercises, convert each percent to a decimal.
$$40 \%$$

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Problem 32

In the following exercises, convert each percent to a decimal.
$$50 \%$$

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Problem 33

In the following exercises, convert each percent to a decimal.
$$115 \%$$

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Problem 34

In the following exercises, convert each percent to a decimal.
$$125 \%$$

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Problem 35

In the following exercises, convert each percent to a decimal.
$$150 \%$$

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Problem 36

In the following exercises, convert each percent to a decimal.
$$250 \%$$

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Problem 37

In the following exercises, convert each percent to a decimal.
$$21.4 \%$$

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Problem 38

In the following exercises, convert each percent to a decimal.
$$39.3 \%$$

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Problem 39

In the following exercises, convert each percent to a decima
$$7.8 \%$$

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Problem 40

In the following exercises, convert each percent to a decimal.
$$6.4 \%$$

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Problem 41

In the following exercises, convert each percent to
(a) a simplified fraction and (b) a decimal

In $2010,1.5 \%$ of home sales had owner financing. (Source;Bloomberg Business week, $23-29 / 2011)$

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Problem 42

In the following exercises, convert each percent to
(a) a simplified fraction and (b) a decimal

In $2000,4.2 \%$ of the United States population was of Asian descent. www.census.gov)

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Problem 43

In the following exercises, convert each percent to
(a) a simplified fraction and (b) a decimal

According to government data, in 2013 the number of cell phones in India was 70.23$\%$ of the population.

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Problem 44

In the following exercises, convert each percent to
(a) a simplified fraction and (b) a decimal

According to the U.S. Census Bureau, among Americans age 25 or older who had doctorate degrees in $2014,37.1 \%$ are women.

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Problem 45

In the following exercises, convert each percent to
(a) a simplified fraction and (b) a decimal

A couple plans to have two children. The probability they will have two girls is 25$\% .$

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Problem 46

In the following exercises, convert each percent to
(a) a simplified fraction and (b) a decimal

Javier will choose one digit at random from 0 through 9 . The probability he will choose 3 is 10$\%$ .

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Problem 47

In the following exercises, convert each percent to
(a) a simplified fraction and (b) a decimal

According to the local weather report, the probability of thunderstorms in New York City on July 15 is 60$\% .$

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Problem 48

In the following exercises, convert each percent to
(a) a simplified fraction and (b) a decimal

A club sells 50 tickets to a raffle. Osbaldo bought one ticket. The probability he will win the raffle is 2$\% .$

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Problem 49

In the following exercises, convert each decimal to a percent.
$$0.01$$

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Problem 50

In the following exercises, convert each decimal to a percent.
$$0.03$$

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Problem 51

In the following exercises, convert each decimal to a percent.
$$0.18$$

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Problem 52

In the following exercises, convert each decimal to a percent.
$$0.15$$

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Problem 53

In the following exercises, convert each decimal to a percent.
$$1.35$$

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Problem 54

In the following exercises, convert each decimal to a percent.
$$1.56$$

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Problem 55

In the following exercises, convert each decimal to a percent.
$$3$$

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Problem 56

In the following exercises, convert each decimal to a percent.
$$4$$

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Problem 57

In the following exercises, convert each decimal to a percent.
$$0.009$$

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Problem 58

In the following exercises, convert each decimal to a percent.
$$0.008$$

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Problem 59

In the following exercises, convert each decimal to a percent.
$$0.0875$$

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Problem 60

In the following exercises, convert each decimal to a percent.
$$0.0625$$

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Problem 61

In the following exercises, convert each decimal to a percent.
$$1.5$$

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Problem 62

In the following exercises, convert each decimal to a percent.
$$2.2$$

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Problem 63

In the following exercises, convert each decimal to a percent.
$$2.254$$

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Problem 64

In the following exercises, convert each decimal to a percent.
$$2.317$$

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Problem 65

In the following exercises, convert each fraction to a percent.
$$\frac{1}{4}$$

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Problem 66

In the following exercises, convert each fraction to a percent.
$$\frac{1}{5}$$

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Problem 67

In the following exercises, convert each fraction to a percent.
$$\frac{3}{8}$$

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Problem 68

In the following exercises, convert each fraction to a percent.
$$\frac{5}{8}$$

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Problem 69

In the following exercises, convert each fraction to a percent.
$$\frac{7}{4}$$

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Problem 70

In the following exercises, convert each fraction to a percent.
$$\frac{9}{8}$$

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Problem 71

In the following exercises, convert each fraction to a percent.
$$6 \frac{4}{5}$$

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Problem 72

In the following exercises, convert each fraction to a percent.
$$5 \frac{1}{4}$$

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Problem 73

In the following exercises, convert each fraction to a percent.
$$\frac{5}{12}$$

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Problem 74

In the following exercises, convert each fraction to a percent.
$$\frac{11}{12}$$

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Problem 75

In the following exercises, convert each fraction to a percent.
$$2 \frac{2}{3}$$

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Problem 76

In the following exercises, convert each fraction to a percent.
$$1 \frac{2}{3}$$

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Problem 77

In the following exercises, convert each fraction to a percent.
$$\frac{3}{7}$$

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Problem 78

In the following exercises, convert each fraction to a percent.
$$\frac{6}{7}$$

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Problem 79

In the following exercises, convert each fraction to a percent.
$$\frac{5}{9}$$

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Problem 80

In the following exercises, convert each fraction to a percent.
$$\frac{4}{9}$$

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Problem 81

In the following exercises, convert each fraction to a percent.
$\frac{1}{4}$ of washing machines needed repair.

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Problem 82

In the following exercises, convert each fraction to a percent.
$\frac{1}{5}$ of dishwashers needed repair.

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Problem 83

In the following exercises, convert each fraction to a percent.
According to the National Center for Health Statistics, in $2012, \frac{7}{20}$ of American adults were obese.

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Problem 84

In the following exercises, convert each fraction to a percent.
The U.S. Census Bureau estimated that in $2013,85 \%$ of Americans lived in the same house as they did 1 year before.

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Problem 85

In the following exercises, complete the table.

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Problem 86

In the following exercises, complete the table.

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Problem 87

Sales tax Felipa says she has an easy way to estimate the sales tax when she makes a purchase. The sales tax in her city is 9.05$\% .$ She knows this is a little less than 10$\%$ .
(a) Convert 10$\%$ to a fraction.
(b) Use your answer from (a) to estimate the sales tax Felipa would pay on a $\$ 95$ dress.

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Problem 88

Savings Ryan has 25$\%$ of each paycheck automatically deposited in his savings account.
(a) Write 25$\%$ as a fraction.
(b) Use your answer from (a) to find the amount that goes to savings from Ryan's $\$ 2,400$
paycheck.

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Problem 89

Amelio is shopping for textbooks online. He found three sellers that are offering a book he needs for the
same price, including shipping. To decide which seller to buy from he is comparing their customer
satisfaction ratings. The ratings are given in the chart.

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Problem 90

Write seller Cā€™s rating as a fraction and a decimal.

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Problem 91

Write seller $\mathrm{B}$ 's rating as a percent and a decimal.

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Problem 92

Write seller A's rating as a percent and a decimal.

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Problem 93

Which seller should Amelio buy from and why?

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Problem 94

Convert $25 \%, 50 \%, 75 \%,$ and 100$\%$ to fractions. Do you notice a pattern? Explain what the pattern is.

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Problem 95

Convert $\frac{1}{10}, \frac{2}{10}, \frac{3}{10}, \frac{4}{10}, \frac{5}{10}, \frac{6}{10}, \frac{7}{10}, \frac{8}{10},$ and $\frac{9}{10}$ to percents. Do you notice a pattern? Explain what the pattern is.

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Problem 96

When the Szetos sold their home, the selling price was 500$\%$ of what they had paid for the house
30 years ago. Explain what 500$\%$ means in this context.

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Problem 97

According to cnn.com, cell phone use in 2008 was 600$\%$ of what it had been in 2001 . Explain what
600$\%$ means in this context.

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