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Prealgebra

Chapter 6

PrealgebraChapter 6

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. 113250113250
  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. 22502250
  2. 0.440.44
6.15
  1. 310310
  2. 0.30.3
6.16
  1. 12.510012.5100
  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

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

26

6.102

34

6.103

80

6.104

147

6.105

38

6.106

64

6.107

37.5%

6.108

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.

41.7%

75.

266 . 6 % 266 . 6 %

77.

42.9%

79.

55.6%

81.

25%

83.

35%

87.
  1. 110110
  2. approximately $9.50approximately $9.50
90.

17 20 ; 0.85 17 20 ; 0.85

92.

80%; 0.8

94.

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

96.

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

Section 6.2 Exercises

98.

54

100.

26.88

102.

162.5

104.

18,000

106.

112

108.

108

110.

$35

112.

$940

114.

30%

116.

36%

118.

150%

120.

175%

122.

$11.88

124.

$259.80

126.

24.2 grams

128.

2,407 grams

130.

45%

132.

25%

134.

13.2%

136.

125%

138.

72.7%

140.

2.5%

142.

11%

144.

5.5%

146.

21.2%

148.

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%.

150.

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

Section 6.3 Exercises

152.
  1. $4.20
  2. $88.20
154.
  1. $9.68
  2. $138.68
156.
  1. $17.13
  2. $267.13
158.
  1. $61.45
  2. $1,260.45
160.

6.5%

162.

6.85%

164.

$20.25

166.

$975

168.

$859.25

170.

3%

172.

16%

174.

15.5%

176.

$139

177.

$81

178.

$125

180.
  1. $26.97
  2. $17.98
182.
  1. $128.37
  2. $260.63
184.
  1. $332.48
  2. $617.50
186.
  1. $576
  2. 30%
188.
  1. $53.25
  2. 15%
190.
  1. $370
  2. 43.5%
192.
  1. $7.20
  2. $23.20
194.
  1. $0.20
  2. 44.2%
196.
  1. $258.75
  2. $373.75
198.
  1. $131.25
  2. $126.25
  3. 25% off first, then $20 off
200.
  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

202.

$180

204.

$14,000

206.

6.3%

208.

$90

210.

$579.96

212.

$14,167

214.

$3,280

216.

$860

218.

$24,679.91

220.

4%

222.

5.5%

224.

$116

226.

$4,836

228.

3%

230.

3.75%

232.

$35,000

234.

$3,345

236.

$332.10

238.

$195.00

240.

Answers will vary.

242.

Answers will vary.

Section 6.5 Exercises

244.

4 15 = 36 135 4 15 = 36 135

246.

12 5 = 96 40 12 5 = 96 40

248.

5 7 = 115 161 5 7 = 115 161

250.

8 1 = 48 6 8 1 = 48 6

252.

9.36 18 = 2.60 5 9.36 18 = 2.60 5

254.

18.04 11 = 4.92 3 18.04 11 = 4.92 3

256.

yes

258.

no

260.

no

262.

yes

264.

49

266.

7

268.

9

270.

−11

272.

7

274.

2

276.

0.6

278.

4

280.

9 ml

282.

114, no

284.

159 cal

286.

3 4 cup 3 4 cup

288.

$252.50

290.

1.25

292.

48 quarters

294.

19, $58.71

296.

12.8 hours

298.

4 bags

300.

n 250 = 35 100 n 250 = 35 100

302.

n 47 = 110 100 n 47 = 110 100

304.

45 n = 30 100 45 n = 30 100

306.

90 n = 150 100 90 n = 150 100

308.

17 85 = p 100 17 85 = p 100

310.

340 260 = p 100 340 260 = p 100

312.

117

313.

165

314.

16.56

316.

45.5

318.

1464

320.

$45

322.

$164

324.

25%

326.

12.5%

328.

20, 32

330.

Answers will vary.

Review Exercises

332.

32 100 32 100

334.

13 100 , 13% 13 100 , 13%

336.

12 25 12 25

338.

641 1000 641 1000

340.

0.06

342.

1.28

344.
  1. 2720027200
  2. 0.1350.135
346.
  1. 1212
  2. 0.50.5
348.

4%

350.

282%

352.

0.3%

354.

75%

356.

362.5%

358.

40%

360.

161

362.

240

364.

25

366.

68%

368.

$16.70

370.

28.4%

372.

4%

374.
  1. ⓐ $45
  2. ⓑ $795
376.

7.25%

378.

$11,400

380.

15%

382.

$45

384.
  1. $25.47
  2. $59.43
386.
  1. ⓐ $13
  2. ⓑ 26%
388.
  1. ⓐ $0.48
  2. ⓑ $1.28
390.

$450

392.

$4400

394.

$900

396.

2.5%

398.

3 8 = 12 32 3 8 = 12 32

400.

1 18 = 23 414 1 18 = 23 414

402.

yes

404.

no

406.

20

408.

4

410.

12

412.

340

414.

13 gallons

416.

n 395 = 62 100 n 395 = 62 100

418.

15 1000 = p 100 15 1000 = p 100

420.

765

422.

$78

Practice Test

424.

0.24 , 6 25 0.24 , 6 25

426.

3.5 , 3 1 2 3.5 , 3 1 2

428.

33.333%

430.

25%

432.

40

434.

11.9%

436.

4%

438.

$50

440.

6.2%

442.

−52

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