Chapter 6

$\frac{33}{5}$

$0.6$

$\frac{31}{50}$

$32$

$10.71$

$5$

$63$

$324$

$75$

$6.67$

$\frac{1}{12}$

$80$

$\frac{24\text{miles}}{2\text{hours}}$

$\frac{89}{100}$

$\frac{72}{100}$

$\frac{62}{100},\text{62\%}$

$\frac{41}{100},\text{41\%}$

42.9%

57.1%

$11.\bar{1}\text{\%,}\text{or}11\frac{1}{9}\%$

$16.\bar{6}\text{\%,}\text{or}16\frac{2}{3}\%$

36

33

117

126

68

64

$26

$36

75%

80%

125%

175%

$14.67

$2.16

24.1 grams

2,375 mg

26%

37%

8.8%

50%

6.3%

10%

9%

7.5%

$273

$394.20

4%

5.5%

$450

$82

$160

$56

$2,750

$3,560

4.5%

6.5%

$142.50

$7,020

6%

4%

$11,450

$9,600

$57.00

$143.50

77

104

65

24

−7

−9

12 ml

180 mg

300

5 pieces

590 Euros

56,460 yen

$\frac{n}{105}=\frac{60}{100}$

$\frac{n}{85}=\frac{40}{100}$

$\frac{36}{n}=\frac{25}{100}$

$\frac{27}{n}=\frac{36}{100}$

$\frac{n}{100}=\frac{39}{52}$

$\frac{n}{100}=\frac{23}{92}$

$\frac{n}{40}=\frac{65}{100};n=26$

$\frac{n}{40}=\frac{85}{100};n=34$

$\frac{n}{64}=\frac{125}{100};n=80$

$\frac{n}{84}=\frac{175}{100};n=147$

$\frac{3.23}{n}=\frac{8.5}{100};n=38$

$\frac{4.64}{n}=\frac{7.25}{100};n=64$

$\frac{27}{72}=\frac{n}{100};n=\mathrm{37.5\%}$

$\frac{23}{92}=\frac{n}{100};n=\mathrm{25\%}$

$\frac{6}{100}$

$\frac{32}{1000}$

$\frac{1}{25}$

$\frac{17}{100}$

$\frac{13}{25}$

$\frac{5}{4}$

$\frac{3}{8}$

$\frac{23}{125}$

$\frac{19}{200}$

$\frac{4}{75}$

0.05

0.01

0.63

0.4

1.15

1.5

0.214

0.078

1%

18%

135%

300%

0.9%

8.75%

150%

225.4%

25%

37.5%

175%

680%

$41\frac{2}{3}\text{\%}or41.\bar{6}\text{\%}$

$266.\bar{6}\text{\%}$

42.9%

$55.\bar{5}\text{\%}$

25%

35%

$\frac{17}{20};0.85$

80%; 0.8

$\frac{1}{4},\frac{1}{2},\frac{3}{4},1.$

The Szetos sold their home for five times what they paid 30 years ago.

54

26.88

162.5

18,000

112

108

$35

$940

30%

36%

150%

175%

$11.88

$259.80

24.2 grams

2,407 mg

45%

25%

13.2%

125%

72.7%

2.5%

11%

5.5%

21.2%

The original number should be greater than 44.80% is less than 100%, so when 80% is converted to a decimal and multiplied to the base in the percent equation, the resulting amount of 44 is less. 44 is only the larger number in cases where the percent is greater than 100%.

Alex should have packed half as many shorts and twice as many shirts.

6.5%

6.85%

$20.25

$975

$859.25

3%

16%

15.5%

$139

$81

$125

$180

$14,000

6.3%

$90

$579.96

$14,167

$3,280

$860

$24,679.91

4%

5.5%

$116

$4,836

3%

3.75%

$35,000

$3,345

$332.10

$195.00

Answers will vary.

Answers will vary.

$\frac{4}{15}=\frac{36}{135}$

$\frac{12}{5}=\frac{96}{40}$

$\frac{5}{7}=\frac{115}{161}$

$\frac{8}{1}=\frac{48}{6}$

$\frac{9.36}{18}=\frac{2.60}{5}$

$\frac{18.04}{11}=\frac{4.92}{3}$

yes

no

no

yes

x = 49

z = 7

a = 9

p = −11

a = 7

c = 2

j = 0.6

m = 4

9 ml

114 beats/minute. Carol has not met her target heart rate.

159 cal

$\frac{3}{4}\text{cup}$

$252.50

0.8 Euros

48 quarters

19 gallons, $58.71

12.8 hours

4 bags

$\frac{n}{250}=\frac{35}{100}$

$\frac{n}{47}=\frac{110}{100}$

$\frac{45}{n}=\frac{30}{100}$

$\frac{90}{n}=\frac{150}{100}$

$\frac{17}{85}=\frac{p}{100}$

$\frac{340}{260}=\frac{p}{100}$

$\frac{n}{180}=\frac{65}{100}$

$\frac{n}{92}=\frac{18}{100}$

$\frac{n}{26}=\frac{175}{100}$

$\frac{n}{488}=\frac{300}{100}$

$\frac{7.65}{n}=\frac{17}{100}$

$\frac{13.53}{n}=\frac{8.25}{100}$

$\frac{14}{56}=\frac{p}{100}$

$\frac{12}{96}=\frac{p}{100}$

He must add 20 oz of water to obtain a final solution of 32 oz.

Answers will vary.

$\frac{32}{100}$

$\frac{13}{100},\text{13\%}$

$\frac{12}{25}$

$\frac{641}{1000}$

0.06

1.28

4%

282%

0.3%

75%

362.5%

40%

161

240

25

68%

$16.70

28.4%

4%

7.25%

$11,400

15%

$45

$450

$4400

$900

2.5%

$\frac{3}{8}=\frac{12}{32}$

$\frac{1}{18}=\frac{23}{414}$

yes

no

20

4

12 ml

340 calories

13 gallons

$\frac{n}{395}=\frac{62}{100}$

$\frac{15}{1000}=\frac{p}{100}$

$\frac{n}{900}=\frac{85}{100},765$

$\frac{3.51}{n}=\frac{4.5}{100},\mathrm{\$78}$

$0.24,\frac{6}{25}$

$3.5,\frac{7}{2}$

$33.\overline{3}\text{\%}or33\frac{1}{3}\text{\%}$

25%

40

11.9%

4%

$70

6.25%

−52