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$\%$

Cassidy M.
Numerade Educator

Problem 2

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

Tricia W.
Numerade Educator

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 .

Cassidy M.
Numerade Educator

Problem 4

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

Tricia W.
Numerade Educator

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.

Cassidy M.
Numerade Educator

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.

Tricia W.
Numerade Educator

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.

Cassidy M.
Numerade Educator

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.

Tricia W.
Numerade Educator

Problem 9

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

Cassidy M.
Numerade Educator

Problem 10

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

Tricia W.
Numerade Educator

Problem 11

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

Cassidy M.
Numerade Educator

Problem 12

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

Tricia W.
Numerade Educator

Problem 13

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

Cassidy M.
Numerade Educator

Problem 14

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

Tricia W.
Numerade Educator

Problem 15

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

Cassidy M.
Numerade Educator

Problem 16

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

Tricia W.
Numerade Educator

Problem 17

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

Cassidy M.
Numerade Educator

Problem 18

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

Tricia W.
Numerade Educator

Problem 19

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

Cassidy M.
Numerade Educator

Problem 20

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

Tricia W.
Numerade Educator

Problem 21

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

Cassidy M.
Numerade Educator

Problem 22

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

Check back soon!

Problem 23

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

Cassidy M.
Numerade Educator

Problem 24

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

Tricia W.
Numerade Educator

Problem 25

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

Cassidy M.
Numerade Educator

Problem 26

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

Tricia W.
Numerade Educator

Problem 27

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

Cassidy M.
Numerade Educator

Problem 28

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

Tricia W.
Numerade Educator

Problem 29

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

Cassidy M.
Numerade Educator

Problem 30

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

Tricia W.
Numerade Educator

Problem 31

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

Cassidy M.
Numerade Educator

Problem 32

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

Tricia W.
Numerade Educator

Problem 33

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

Cassidy M.
Numerade Educator

Problem 34

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

Tricia W.
Numerade Educator

Problem 35

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

Cassidy M.
Numerade Educator

Problem 36

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

Tricia W.
Numerade Educator

Problem 37

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

Cassidy M.
Numerade Educator

Problem 38

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

Tricia W.
Numerade Educator

Problem 39

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

Cassidy M.
Numerade Educator

Problem 40

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

Tricia W.
Numerade Educator

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, $23-29 / 2011)$

Cassidy M.
Numerade Educator

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)

Tricia W.
Numerade Educator

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.

Cassidy M.
Numerade Educator

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.

Tricia W.
Numerade Educator

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$\% .$

Cassidy M.
Numerade Educator

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$\%$ .

Tricia W.
Numerade Educator

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$\% .$

Cassidy M.
Numerade Educator

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$\% .$

Tricia W.
Numerade Educator

Problem 49

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

Cassidy M.
Numerade Educator

Problem 50

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

Tricia W.
Numerade Educator

Problem 51

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

Cassidy M.
Numerade Educator

Problem 52

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

Tricia W.
Numerade Educator

Problem 53

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

Cassidy M.
Numerade Educator

Problem 54

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

Tricia W.
Numerade Educator

Problem 55

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

Cassidy M.
Numerade Educator

Problem 56

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

Tricia W.
Numerade Educator

Problem 57

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

Cassidy M.
Numerade Educator

Problem 58

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

Tricia W.
Numerade Educator

Problem 59

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

Cassidy M.
Numerade Educator

Problem 60

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

Tricia W.
Numerade Educator

Problem 61

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

Cassidy M.
Numerade Educator

Problem 62

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

Tricia W.
Numerade Educator

Problem 63

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

Cassidy M.
Numerade Educator

Problem 64

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

Tricia W.
Numerade Educator

Problem 65

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

Cassidy M.
Numerade Educator

Problem 66

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

Tricia W.
Numerade Educator

Problem 67

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

Cassidy M.
Numerade Educator

Problem 68

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

Tricia W.
Numerade Educator

Problem 69

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

Cassidy M.
Numerade Educator

Problem 70

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

Tricia W.
Numerade Educator

Problem 71

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

Cassidy M.
Numerade Educator

Problem 72

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

Tricia W.
Numerade Educator

Problem 73

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

Cassidy M.
Numerade Educator

Problem 74

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

Tricia W.
Numerade Educator

Problem 75

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

Cassidy M.
Numerade Educator

Problem 76

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

Tricia W.
Numerade Educator

Problem 77

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

Cassidy M.
Numerade Educator

Problem 78

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

Tricia W.
Numerade Educator

Problem 79

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

Cassidy M.
Numerade Educator

Problem 80

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

Tricia W.
Numerade Educator

Problem 81

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

Cassidy M.
Numerade Educator

Problem 82

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

Tricia W.
Numerade Educator

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.

Cassidy M.
Numerade Educator

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.

Tricia W.
Numerade Educator

Problem 85

In the following exercises, complete the table.

Cassidy M.
Numerade Educator

Problem 86

In the following exercises, complete the table.

Check back soon!

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.

Cassidy M.
Numerade Educator

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.

Tricia W.
Numerade Educator

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.

Cassidy M.
Numerade Educator

Problem 90

Write seller C’s rating as a fraction and a decimal.

Tricia W.
Numerade Educator

Problem 91

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

Cassidy M.
Numerade Educator

Problem 92

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

Check back soon!

Problem 93

Which seller should Amelio buy from and why?

Cassidy M.
Numerade Educator

Problem 94

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

Check back soon!

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.

Cassidy M.
Numerade Educator

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.

Check back soon!

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.

Cassidy M.
Numerade Educator