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.

242.

## 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.

## 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