 Prealgebra 2e

# Chapter 6

Prealgebra 2eChapter 6

### Be Prepared

6.1

$33 5 33 5$

6.2

$0.6 0.6$

6.3

$31 50 31 50$

6.4

$32 32$

6.5

$10.71 10.71$

6.6

$5 5$

6.7

$63 63$

6.8

$324 324$

6.9

$75 75$

6.10

$6.67 6.67$

6.11

$1 12 1 12$

6.12

$80 80$

6.13

$24 miles 2 hours 24 miles 2 hours$

### Try It

6.1

$89 100 89 100$

6.2

$72 100 72 100$

6.3

$62 100 , 62% 62 100 , 62%$

6.4

$41 100 , 41% 41 100 , 41%$

6.5
1. $12251225$
2. $11101110$
6.6
1. $16251625$
2. $3232$
6.7
1. $161250161250$
2. $2323$
6.8
1. $17401740$
2. $780780$
6.9
1. 0.09
2. 0.87
6.10
1. ⓐ 0.03
2. ⓑ 0.91
6.11
1. ⓐ 1.15
2. ⓑ 0.235
6.12
1. ⓐ 1.23
2. ⓑ 0.168
6.13
1. $625625$
2. $0.240.24$
6.14
1. $11251125$
2. $0.440.44$
6.15
1. $310310$
2. $0.30.3$
6.16
1. $1818$
2. $0.1250.125$
6.17
1. 1%
2. 17%
6.18
1. 4%
2. 41%
6.19
1. 175%
2. 8.25%
6.20
1. 225%
2. 9.25%
6.21
1. 62.5%
2. 275%
3. 340%
6.22
1. 87.5%
2. 225%
3. 160%
6.23

42.9%

6.24

57.1%

6.25

$11. 1 – %, or 11 1 9 % 11. 1 – %, or 11 1 9 %$

6.26

$16 . 6 – %, or 16 2 3 % 16 . 6 – %, or 16 2 3 %$

6.27

36

6.28

33

6.29

117

6.30

126

6.31

68

6.32

64

6.33

$26 6.34$36

6.35

75%

6.36

80%

6.37

125%

6.38

175%

6.39

$14.67 6.40$2.16

6.41

24.1 grams

6.42

2,375 mg

6.43

26%

6.44

37%

6.45

8.8%

6.46

50%

6.47

6.3%

6.48

10%

6.49
1. ⓐ $45.25 2. ⓑ$769.25
6.50
1. ⓐ $20.50 2. ⓑ$270.50
6.51

9%

6.52

7.5%

6.53

$273 6.54$394.20

6.55

4%

6.56

5.5%

6.57

$450 6.58$82

6.59
1. ⓐ $11.60 2. ⓑ$17.40
6.60
1. ⓐ $256.75 2. ⓑ$138.25
6.61
1. $184.80 2. 33% 6.62 1.$60
2. 15%
6.63
1. $600 2.$1,800
6.64
1. $2,975 2.$11,475
6.65

$160 6.66$56

6.67

$2,750 6.68$3,560

6.69

4.5%

6.70

6.5%

6.71

$142.50 6.72$7,020

6.73

6%

6.74

4%

6.75

$11,450 6.76$9,600

6.77

$57.00 6.78$143.50

6.79
1. $59=203659=2036$
2. $711=2844711=2844$
3. $2.508=3.75122.508=3.7512$
6.80
1. $67=364267=3642$
2. $836=1254836=1254$
3. $3.756=2.5043.756=2.504$
6.81
1. ⓐ no
2. ⓑ yes
6.82
1. ⓐ no
2. ⓑ no
6.83

77

6.84

104

6.85

65

6.86

24

6.87

−7

6.88

−9

6.89

12 ml

6.90

180 mg

6.91

300

6.92

5 pieces

6.93

590 Euros

6.94

56,460 yen

6.95

$n 105 = 60 100 n 105 = 60 100$

6.96

$n 85 = 40 100 n 85 = 40 100$

6.97

$36 n = 25 100 36 n = 25 100$

6.98

$27 n = 36 100 27 n = 36 100$

6.99

$n 100 = 39 52 n 100 = 39 52$

6.100

$n 100 = 23 92 n 100 = 23 92$

6.101

$n 40 = 65 100 ; n = 26 n 40 = 65 100 ; n = 26$

6.102

$n 40 = 85 100 ; n = 34 n 40 = 85 100 ; n = 34$

6.103

$n 64 = 125 100 ; n = 80 n 64 = 125 100 ; n = 80$

6.104

$n 84 = 175 100 ; n = 147 n 84 = 175 100 ; n = 147$

6.105

$3.23 n = 8.5 100 ; n = 38 3.23 n = 8.5 100 ; n = 38$

6.106

$4.64 n = 7.25 100 ; n = 64 4.64 n = 7.25 100 ; n = 64$

6.107

$27 72 = n 100 ; n = 37.5% 27 72 = n 100 ; n = 37.5%$

6.108

$23 92 = n 100 ; n = 25% 23 92 = n 100 ; n = 25%$

### Section 6.1 Exercises

1.

$6 100 6 100$

3.

$32 1000 32 1000$

5.
1. $5710057100$
2. $57%57%$
7.
1. $4210042100$
2. $42%42%$
9.

$1 25 1 25$

11.

$17 100 17 100$

13.

$13 25 13 25$

15.

$5 4 5 4$

17.

$3 8 3 8$

19.

$23 125 23 125$

21.

$19 200 19 200$

23.

$4 75 4 75$

25.

0.05

27.

0.01

29.

0.63

31.

0.4

33.

1.15

35.

1.5

37.

0.214

39.

0.078

41.
1. $32003200$
2. $0.0150.015$
43.
1. $702310,000702310,000$
2. $0.70230.7023$
45.
1. $14 14$
2. $0.250.25$
47.
1. $35 35$
2. $0.60.6$
49.

1%

51.

18%

53.

135%

55.

300%

57.

0.9%

59.

8.75%

61.

150%

63.

225.4%

65.

25%

67.

37.5%

69.

175%

71.

680%

73.

$41 2 3 % o r 41. 6 – % 41 2 3 % o r 41. 6 – %$

75.

$266 . 6 – % 266 . 6 – %$

77.

42.9%

79.

$55. 5 – % 55. 5 – %$

81.

25%

83.

35%

85.
Fraction Decimal Percent
$1212$ $0.50.5$ $50%50%$
$920920$ $0.450.45$ $45%45%$
$950950$ $0.180.18$ $18%18%$
$1313$ $0.30.3$ $33.3%33.3%$
$11251125$ $0.0080.008$ $0.8%0.8%$
$22$ $2.02.0$ $200%200%$
87.
1. $110110$
2. $approximately 9.50approximately 9.50$
89.

$17 20 ; 0.85 17 20 ; 0.85$

91.

80%; 0.8

93.

$1 4 , 1 2 , 3 4 , 1 . 1 4 , 1 2 , 3 4 , 1 .$

95.

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

### Section 6.2 Exercises

97.

54

99.

26.88

101.

162.5

103.

18,000

105.

112

107.

108

109.

$35 111.$940

113.

30%

115.

36%

117.

150%

119.

175%

121.

$11.88 123.$259.80

125.

24.2 grams

127.

2,407 mg

129.

45%

131.

25%

133.

13.2%

135.

125%

137.

72.7%

139.

2.5%

141.

11%

143.

5.5%

145.

21.2%

147.

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%.

149.

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

### Section 6.3 Exercises

151.
1. $4.20 2.$88.20
153.
1. $9.68 2.$138.68
155.
1. $17.13 2.$267.13
157.
1. $61.45 2.$1,260.45
159.

6.5%

161.

6.85%

163.

$20.25 165.$975

167.

$859.25 169. 3% 171. 16% 173. 15.5% 175.$139

176.

$81 177.$125

179.
1. $26.97 2.$17.98
181.
1. $128.37 2.$260.63
183.
1. $332.48 2.$617.47
185.
1. $576 2. 30% 187. 1.$53.25
2. 15%
189.
1. $370 2. 43.5% 191. 1.$7.20
2. $23.20 193. 1.$0.20
2. $0.80 195. 1.$258.75
2. $373.75 197. 1.$131.25
2. $126.25 3. 25% off first, then$20 off
199.
1. Priam is correct. The original price is 100%. Since the discount rate was 40%, the sale price was 60% of the original price.
2. Yes.

### Section 6.4 Exercises

201.

$180 203.$14,000

205.

6.3%

207.

$90 209.$579.96

211.

$14,167 213.$3,280

215.

$860 217.$24,679.91

219.

4%

221.

5.5%

223.

$116 225.$4,836

227.

3%

229.

3.75%

231.

$35,000 233.$3,345

235.

$332.10 237.$195.00

239.

241.

### Section 6.5 Exercises

243.

$4 15 = 36 135 4 15 = 36 135$

245.

$12 5 = 96 40 12 5 = 96 40$

247.

$5 7 = 115 161 5 7 = 115 161$

249.

$8 1 = 48 6 8 1 = 48 6$

251.

$9.36 18 = 2.60 5 9.36 18 = 2.60 5$

253.

$18.04 11 = 4.92 3 18.04 11 = 4.92 3$

255.

yes

257.

no

259.

no

261.

yes

263.

x = 49

265.

z = 7

267.

a = 9

269.

p = −11

271.

a = 7

273.

c = 2

275.

j = 0.6

277.

m = 4

279.

9 ml

281.

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

283.

159 cal

285.

$3 4 cup 3 4 cup$

287.

$252.50 289. 0.8 Euros 291. 48 quarters 293. 19 gallons,$58.71

295.

12.8 hours

297.

4 bags

299.

$n 250 = 35 100 n 250 = 35 100$

301.

$n 47 = 110 100 n 47 = 110 100$

303.

$45 n = 30 100 45 n = 30 100$

305.

$90 n = 150 100 90 n = 150 100$

307.

$17 85 = p 100 17 85 = p 100$

309.

$340 260 = p 100 340 260 = p 100$

311.

$n 180 = 65 100 n 180 = 65 100$

313.

$n 92 = 18 100 n 92 = 18 100$

315.

$n 26 = 175 100 n 26 = 175 100$

317.

$n 488 = 300 100 n 488 = 300 100$

319.

$7.65 n = 17 100 7.65 n = 17 100$

321.

$13.53 n = 8.25 100 13.53 n = 8.25 100$

323.

$14 56 = p 100 14 56 = p 100$

325.

$12 96 = p 100 12 96 = p 100$

327.

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

329.

### Review Exercises

331.

$32 100 32 100$

333.

$13 100 , 13% 13 100 , 13%$

335.

$12 25 12 25$

337.

$641 1000 641 1000$

339.

0.06

341.

1.28

343.
1. $2720027200$
2. $0.1350.135$
345.
1. $1212$
2. $0.50.5$
347.

4%

349.

282%

351.

0.3%

353.

75%

355.

362.5%

357.

40%

359.

161

361.

240

363.

25

365.

68%

367.

$16.70 369. 28.4% 371. 4% 373. 1. ⓐ$45
2. ⓑ $795 375. 7.25% 377.$11,400

379.

15%

381.

$45 383. 1.$25.47
2. $59.43 385. 1. ⓐ$13
2. ⓑ 26%
387.
1. ⓐ $0.48 2. ⓑ$1.28
389.

$450 391.$4400

393.

$900 395. 2.5% 397. $3 8 = 12 32 3 8 = 12 32$ 399. $1 18 = 23 414 1 18 = 23 414$ 401. yes 403. no 405. 20 407. 4 409. 12 ml 411. 340 calories 413. 13 gallons 415. $n 395 = 62 100 n 395 = 62 100$ 417. $15 1000 = p 100 15 1000 = p 100$ 419. $n 900 = 85 100 , 765 n 900 = 85 100 , 765$ 421. $3.51 n = 4.5 100 , 78 3.51 n = 4.5 100 , 78$ ### Practice Test 423. $0.24 , 6 25 0.24 , 6 25$ 425. $3.5 , 7 2 3.5 , 7 2$ 427. $33. 3 ¯ % o r 33 1 3 % 33. 3 ¯ % o r 33 1 3 %$ 429. 25% 431. 40 433. 11.9% 435. 4% 437.$70

439.

6.25%

441.

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