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Solution Manual for Business Math, 11th Edition

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    S OLUTIONS M ANUAL B USINESS M ATH E LEVENTH E DITION Cheryl Cleaves Southwest Tennessee Community College, Emerita Margie Hobbs Southwest Tennessee Community College, Emerita Jeffrey Noble Madison College

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    Table of Contents Chapter 1: Review of Whole Numbers and Integers 1 Chapter 2: Review of Fractions 9 Chapter 3: Decimals 19 Chapter 4: Banking 29 Chapter 5: Equations 40 Chapter 6: Percents 51 Chapter 7: Business Statistics 62 Chapter 8: Trade and Cash Discounts 75 Chapter 9: Markup and Markdown 84 Chapter 10: Payroll 99 Chapter 11: Simple Interest and Simple Discount 110 Chapter 12: Consumer Credit 121 Chapter 13: Compound Interest, Future Value, and Present Value 130 Chapter 14: Annuities and Sinking Funds 140 Chapter 15: Building Wealth Through Investments 155 Chapter 16: Mortgages 164 Chapter 17: Depreciation 181 Chapter 18: Inventory 194 Chapter 19: Insurance 206 Chapter 20: Taxes 215 Chapter 21: Financial Statements 223

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    Chapter 1 1 Chapter 1 Review of Whole Numbers and Integers Section Exercises 1-1, p. 9 1. Twenty-two million, three hundred fifty-six thousand, twenty-seven 2. One hundred six billion, three hundred fifty-seven million, two hundred ninety-one thousand, five hundred eighty-two 3. Seven hundred thirty million, five hundred thirty-one thousand, nine hundred sixty-eight 4. Twenty-one million, seventeen 5. Five hundred twenty-three billion, eight hundred million, seven thousand, one hundred ninety 6. Seven hundred thirteen million, two hundred five thousand, five hundred thirty-eight 7. 14,985 8. 32,943,608 9. 17,000,803,075 10. 50,612,078 11. 306,541 12. 300,760,512 13. 8 is in the tens place. 3 is to its right and is less than 5. Leave 8 and replace 3 with zero; 480. 14. 7 is in the hundreds place. The digit 6 is on the right and is 5 or more. Add 1 to 7 and replace 6 and 2 with zeros; 3,800. 15. 9 is in the ten-thousands place and 8 is 5 or greater. So increase 9 by 1. Since 9 + 1 = 10, we record 0 and carry 1 to the next place to the left. 2 1 3.   Replace digits to the right of the ten-thousands place with zeros; 300,000. 16. 5 is the first digit. 7 is 5 or greater, so add 1 to 5 and replace all digits to its right with zeros; 60,000. 17. $4,000,000,000 18. $25,972,800 19. 6 is in the millions place, 3 on the right is less than 5, so leave 6 as it is and replace all digits on its right with zeros; 86,000,000. 20. 1 is in the first place. The digit to the right, 5, is 5 or more, so round up by adding 1 to the 1 in the first place. Replace all digits to the right with zeros; 2,000. 21. Negative fifteen thousand, three hundred fourteen dollars 22. Negative eight thousand, four hundred twenty dollars 23. Negative eight thousand, six hundred thirty-six dollars 24. Negative twenty-thousand, one hundred fifty-seven dollars 25. $520,000,000  26. $1,800,000,000  1-2, p. 24 1. 300 600 700 1,600;    1,637 2. 700 1,000 60 1,760;    1,710 3. 800 1,000 50 1,850;    1,843 4. 6,000 20,000 30,000 56,000;    53,871 5. 89 52 37  6. 4 15 5 5 3 6 1 9    7. 2 10 3 0 8 2 7 5 3 3    8. 3 10 5, 4 0 9 2, 1 7 6 3, 2 3 3    9. 6  10. 92 11. 8,188  12. 403  13. 21 14. 17  15. 12 16. 4  17. 730 60 43,800  18. 904 24 3 616 18 08 21,696  19. 1, 005 89 9 045 80 40 89,445 

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    2 Chapter 1 Region W Th F S Su Region Totals Eastern $72,492 $81,948 $32,307 $24,301 $32,589 $243,637 Southern 81,897 59,421 48,598 61,025 21,897 272,838 Central 71,708 22,096 23,222 21,507 42,801 181,334 Western 61,723 71,687 52,196 41,737 22,186 249,529 Daily Sales Total $287,820 $235,152 $156,323 $148,570 $119,473 $947,338 20. 138  21. 480  22 . 5,312 23. $580,412  24. 16 6 96 6 36 36 25. 407 34 13,838 13 6 23 0 238 238 26. 260 R4 17 4, 424 3 4 1 02 1 02 4 0 4 27. − 8 28. 7 29. − 42 30. $239  31. 4 32. $51 33. 26 34. − 217 35. 2,950 50 295 5 59     36. 689,100 30 68,910 3 22,970     37. 57,800,000 2,000 57,800 2 28,900     38. 5,730,000 300 57,300 3 19,100     39. Region Totals $243,637 $272,838 $181,334 $249,529 $947,338      Difference Goal Actual $1,384,000 $947,338 $436,662      Daily Sales Totals $287,820 $235,152 $156,323 $148,570 $119,473 $947,338       Goal was not reached. 40. Total pounds of candy 84 25 2,100    Number of bags of candy 2,100 3 700    Number of boxes of candy 700 12 58    R4 There are 58 boxes of candy and 4 bags left so 59 boxes will be needed to ship all the candy. Enough bags and boxes are on hand to package. 41. 922 R256 352 324,800 316 8 8 00 7 04 960 704 256 The average selling price of each trailer was nearly $923. 42. Total length of fencing needed 210 4 840    feet Number of rolls of fencing needed 840 50 16    R40 Because a partial roll of fencing cannot be purchased, 17 rolls are needed. Cost of 17 rolls of fencing $49 17 $833    Cost of installing fence $1 840 $840    Total cost $833 $840 $1,673    Your bid is the lowest bid and you are likely to get the business. 43. Wages 3 $15 21 $945     Gross profit total cost of materials cost of labor    Gross profit $1,673 $833 $945 $105     44. 8832 8 1104   Each vendor supplied 1,104 boxes of cards. 45. 348 12 29   You will need 29 boxes. 46. 21960 16300 5660   Visitors increased by 5,660. 47. 200000000 500000 199500000   The sales increase is $199,500,000.

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    Chapter 1 3 48. 42000000 2 84000000 cents 84000000 100 840000 dollars     STS paid $840,000 for the purchase. 49. 42000000 6 84000000 168000000 168000000 100 1680000      STS will make a profit of $1,680,000. 50. 214302 32 6696.9375   On average, 6,697 employees work at each location. 51.   $39,583 $23,486 $63,069      52. $32,871 $29,783 $3,088     loss 53.   291 $3 $873     54. $63,408 12 $5,284     55. Number of reams in warehouse 1,358 10 13,580.    If 15,000 reams are needed to process all the store orders, she needs to order more paper. 56.   487 $12 $5,844     Exercise Set, p. 33 1. $7,000,000,000 2. 20,000 3. 26 4. 5,400 hotels; 495,000 rooms; 70 countries; 20 percent minority-owned 5. Negative fourteen billion, six hundred seventy-two million dollars 6. Thirty billion, eight hundred sixty million dollars 7. Negative twenty-seven billion, six hundred eighty-four million dollars 8. Negative eight billion, nine hundred twenty-two million dollars 9. 400 10. 9,000 11. 8,200 12. 350,000 13. 265,472; 2 is in the hundred-thousands place. 6 is to the right and is more than 5. 300,000. 6,316,436; 3 is in the hundred-thousands place. 1 is to the right and is less than 5. 6,300,000. 14. 3,899; 3 is in the thousands place. 8 is to the right and is more than 5. $4,000. 15. 2,017; 2 is in the thousands place. 0 is to the right and is less than 5. 2,000 radios. 16. $2,499; 4 is in the hundreds place. 9 is to the right and is more than 5. $2,500. 17. 5,000 18. 4,000,000 19. 20,000,000,000 20. 2,000,000 21. 32,948 6,804 15,695 415 7,739 63,601      22. 47 385 87 439 874 1,832      23. 46,867 7,083 723 5,209 59,882     24. 72 385 29 523 816 1,825      25. 21,335 4,000 9,000 4,000 5,000 22,000  26. 318,936 70,000 80,000 70,000 90,000 310,000  27. 8,759 3,000 800 4,000 600 8,400  28. 2,612 700 900 300 700 2,600 

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    4 Chapter 1 29. 6,288 4,300 600 1,300 100 6,300  30. Mental estimation: 90 90 100 90 70 80 60 100 680         92 87 96 85 72 84 57 98 671          Kiesha had 671 points. 31. Mental estimation: 50 100 40 50 240     48 96 36 50 230      Mary bought 230 items. 32. 483 472 497 486 464 146 87 2635         The total labor-hours worked was 2,635. 33. 57 43 104 210 309 723       Jorge has 723 cards. 34. 4,072 10,000 6,000 4,000  35. 55,632 80,000 30,000 50,000  36. 56,539,090 80,000,000 30,000,000 50,000,000  37. 182,902 400,000 200,000 200,000  38. 7,310 10,000 5,000 5,000  39. 74,385 100,000 40,000 60,000  40. 130 42 88    Sam must order 88 packages. 41. 840 596 244    The number of fan belts to order is 244. 42. 148 75 73    Frieda still has 73 tickets. 43. 132 119 13    Veronica lost 13 pounds. 44.     32 27 59      45.   $21 $47 $26     46.   14 12 14 12 26      47.     36 18 36 18 18          48.   46 58 12     49.   $35 $52 $17     50.   37 21 37 21 58      51.     72 42 72 42 114       52. 5,931 835 29 655 177 93 4 744 8 4,952,385  53. 1,987 394 7 948 17883 5961 782,878  54. 33 500 16,500  55. 7,870 6,000 47,220,000  56. 5,565 839 50 085 166 95 4 452 0 4,669,035  57. 78,626 87 550 382 6 290 08 6,840,462  58. 283 3,000 849,000  59. 405 400 162,000  60. 7,000 7,489 30 34 210,000 29 956 224 67 254,626  

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    Chapter 1 5 61. 3,100 3,128 500 478 1,550,000 25 024 218 96 1 251 2 1,495,184   62. 400 378 500 546 200,000 2 268 15 12 189 0 206,388   63. 400 378 70 72 28,000 756 26 46 27,216   64. 28 5 140    The center requires 140 pieces of fruit. 65. 2017 6 336.1666667    There are approximately 336 radios per thousand people. 66. 2 $15 $30; $30 $27 $3     Two filters can be purchased at a savings of $3. 67. 793 9 88.11111111    There are approximately 88 TVs per thousand people. 68. 77 77 16 1,232 16 1 12 462 112 77 112 1,232  69. 8,000 8,805 R6 90 748,431 85 748,431 680 68 4 68 0 43 0 431 425 6 70. 500 505 R161 300 174,891 346 174,891 173 1 89 0 1 891 1 730 161 71. 335 335 12 4,020 12 3 6 670 42 3 35 36 4,020 60 60  72. 483,000 3,000 483 3 161     73. 73,460,000 10,000 7,346 1 7,346     74. 835,000 5,000 835 5 167     75. 68,650,000 1,000 68,650 1 68,650     76. 3 420 1 2 , 2 85    The dealer can make 285 packages. 77. 2,032 127 16    The average hourly wage per employee is $16 per hour. 78. 238 2 119    The stack has 119 countertops. 79. 15 32 18 12 77     coins 80.   138 $7 $966    loss 81. $69,708 12 $5,809   gain 82. $10,152 4 $2,538     loss 83.   219 $3 $657    gain 84. 34 3 7 34 21 13      85.   $32 $17 $57 9 $72 9 $8       86.    3 12 5 36 5 31       87.   $72 $38 $21 $32 3 $121 3 $363        88. 63 126 7 63 18 81      89.    5 11 18 55 18 37      

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    6 Chapter 1 Practice Test, p. 37 1. five hundred three 2. twelve million, fifty-six thousand, thirty-nine 3. 80,000 4. 600,000 5. 5,017,135,632 6. 17,500,608 7. Twenty-two billion, six hundred ninety-seven million dollars 8. Eighty-seven billion, four hundred seventy-one million, nine hundred thousand dollars 9. 900 863 1 000 983 300 271 2 200 2 , 1 , 7 ,1   10. 1 000 987 300 346 700 41 , 6   11. 21  12. 23  13.   5 32 5 32 27       14.   8 21 8 21 29         15. 900 892 50 46 45 000 5 352 35 68 41 32 , ,0   16. 80 75 R46 50 4 021 53 4 021 3 71 311 265 46 , , 17. 438 72 643 1153     1,153 items were counted. 18. 31 2 15.5    Only 15 boxes can be stacked. 19. 2988 12 249    249 packages can be made. 20. 43 23 20    20 pairs of shoes remain in inventory. 21. 680 40 17    She makes $17 per hour. 22. 28 2 56    56 5 280    280 pieces of fruit are required. 23. 16 3 48    48 pages are devoted to review. 24. 48 11 37    37 novels were received. 25. $23,522,400,000 $4,313,200,000 $19,209,200,000   26.     Loss negative profit; $34 362 200 000 $394 900 000 $34 362 200 000 $394 900 000 , , , $34 757 100 000 , , , , , , , , , ,        27.     $8 915 $5 212 , , , $6 103 $20 230 ,        28.   $15 814 $7 928 $15 814 $7 928 $7 8 , 8 , , , , 6         29.   186 $11 04 , $2 6     30. $26 136 12 $2, 78 , 1     31.     133 7 4 26 19 4 26 76 26 50              32.   $68 $52 $71 $32 9 $81 9 $729       

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    Chapter 1 7 zero missing Critical Thinking, p. 39 1. 17 12 5 n n    2. 45 5 9 n n    3. Answers will vary.     12 5 2 7 2 5 12 5 2 12 3 9           4. Answers will vary. 8 4 4 4 4 8 does not 4 8      5. Answers will vary. You have 15 rock CDs and 18 classical CDs. Find the total. 6. Answers will vary. You and each of your seven friends have 23 CDs. What is the total number of CDs you eight own? 7. Answers will vary. Multiplication   4 4 4 4 4 5 4 20       8. Addition and Subtraction 9. Division 10. 59 509 12 6,108 12 6,108 6 0 6 0 108 10 108 0 108 108 The 5 in the quotient should align above the 1 in the dividend. 11.   5 3 8 12 5 24 12 29 12 17         The order of operations requires multiplication to be completed before addition or subtraction. 12. 25 12 7 13 7 20      Addition and subtraction must be completed in the order they occur, working from left to right . Challenge Problem p. 39 1. 120 500 135 420 165 80 units 420   2. Case Studies 1-1, p. 41 1. Amtrak:     $198 4 $40 2 $872     Airplane:     $175 4 $40 2 $780     Individual Cars:   $244 $125 4 $1,476    Limo Liner:       $198 $20 4 $20 2 $752      Two-Car Carpool:   $244 $125 2 $738    2. $1,140 $738 $402   savings by two-car carpool $1,140 $7 8 52 $3 8   savings by Limo Liner Although the savings are greater if they carpool, taking the Limo Liner would allow the managers to work en route for three hours, either as a group or individually. Additionally, traveling by Limo Liner should also decrease the fatigue factor for two people having to drive for three to four hours. The Limo Liner seems like an idea worth trying. 3. $388 savings for one trip 12 trips $4,656   savings in a year TABLE 1-3 Employee Name Week 1 Week 2 Week 3 Week 4 Units Sold Brown, Tyler 15 12 23 27 77 Lopez, Cierra 23 18 14 12 67 Prete, Aaron 18 19 27 9 73 Salayon, Steven 21 15 16 17 69 Vidrine, Stephen 31 12 9 15 67 Waddell, Dawn 17 18 12 21 68 Young, Travon 15 19 14 13 61 The overall monthly sales were 482 units. The monthly quota of 500 units was not reached. Tyler Brown and Aaron Prete reached their monthly sales goals.

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    8 Chapter 1 1-2, p. 42 1. 2 45 ft 20 ft 2 sides 1,800 ft    2 1,800 ft 100 18   roofing squares For the roof, 2 1,800 ft of roofing is required, which is 18 roofing squares. 2. 18 squares 4 bundles 72 bundles   18 squares 3 6   rolls of roofing felt 72 bundles $14 per bundle $1, 008   total shingle cost 6 rolls $9 per roll $54   total roofing felt cost For the roof, 72 bundles of shingles are needed at a cost of $1,008. Also, 6 rolls of felt are needed at a cost of $54. 3. 18 squares 3 squares 6 boxes; 6 boxes $5 $30 nail cost     17 drip edge pieces $3 per $51 total drip edge cost     20 ft 20 ft 45 ft 85 ft per side of drip edge    Total cost $1, 008 $54 $30 $51 $1,143      85 ft 2 sides 170 ft; 170 ft 10 ft length 17 pieces     6 boxes of roofing nails are needed at a cost of $30; 17 lengths of drip edge are needed at a cost of $51. The material costs for the entire roof are $1,143. 1-3, p. 42 1. 150 75 25 250 people $100, 000 250 $400      2. $400 10 $40   3.        First shift: 100 $40 10 months $40,000; 25 $100 $2,500; 15 $50 $750;       10 $20 10 $2,000; $40,000 $2,500 $750 $2,000 $45,250 total             Second shift: 25 $150 $3,750; 25 $40 10 $10,000; 25 $35 $875    $3,750 $10,000 $875 $14,625 total        Third shift: 25 $80 10 $20,000 total  4. No, she is short $20,125. $45,250 $14,625 $20,000 $79,875; $100,000 $79,875 $20,125      5.   $79,875 2 $159,750  company contribution $79,875 $159,750 $239,625   total contribution

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    Chapter 2 9 Chapter 2 Review of Fractions Section Exercises 2-1, p. 51 1. proper 2. improper 3. improper 4. proper 5. proper 6. improper 7. 5 7 1 7 12 7 5 8. 1 20 1 20 21 20 1 9. 1 18 18 18 10. 3 7 2 7 17 14 3 11. 2 8 16 16 12. 3 16 24 16 387 32 67 64 3 13. 1,300 13 3 1 1,000 10 10 = = phones per person 14. 1,500 3 1 1 1,000 2 2 = = phones per person 15. ( ) 25 4× 6 +1 = 25; 4 16. ( ) 137 5 27 2 137; 5 × + = 17. ( ) 7 3 2 1 7; 3 × + = 18. ( ) 19 5 3 4 19; 5 × + = 19. ( ) 13 8 1 5 13; 8 × + = 20. ( ) 20 3 6 2 20; 3 × + = 21. 12 3 4 15 3 5 ÷ = ÷ 22. 12 4 3 20 4 5 ÷ = ÷ 23. 20 4 5 24 4 6 ÷ = ÷ 24. 18 18 1 36 18 2 ÷ = ÷ 25. 24 12 2 36 12 3 ÷ = ÷ 26. 13 13 1 39 13 3 ÷ = ÷ 27. 400 million 2 9,000 million 45 = 28. 4,000 million 1 24,000 million 6 = 29. 1 R15 1 R6 2 R3 2 R0 21 21 3 7 21 36 15 21 6 15 3 6 GCD 3 36 36 3 12 21 15 12 6 15 6 3 0 ÷ = = = ÷ 30. 1 R9 1 R6 1 R3 2 R0 15 15 3 5 15 24 9 15 6 9 3 6 GCD 3 24 24 3 8 15 9 6 6 9 6 3 0 ÷ = = = ÷ 31. 2 R12 1 R6 2 R0 18 18 6 3 18 48 12 18 6 12 GCD 6 48 48 6 8 36 12 12 12 6 0 ÷ = = = ÷ 32. 2 R10 1 R5 2 R0 15 15 5 3 15 40 10 15 5 10 GCD 5 40 40 5 8 30 10 10 10 5 0 ÷ = = = ÷ 33. 2 3 2 6 8 16 8 2 16 × = × 34. 4 4 4 16 5 20 5 4 20 × = × 35. 4 3 4 12 8 32 8 4 32 × = × 36. 3 5 3 15 9 27 9 3 27 × = × 37. 5 1 5 5 3 15 3 5 15 × = × 38. 3 3 3 9 5 15 5 3 15 × = ×

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    10 Chapter 2 2-2, p. 59 1. 1 9 2 9 5 9 8 9 + 2. 7 8 5 8 12 4 1 1 1 8 8 2 + = = 3. 2) 6 9 12 2) 3 9 6 3) 3 9 3 3) 1 3 1 1 1 1 2 2 3 3 36 × × × = The LCD is 36. 4. 2)12 4 15 2) 6 2 15 3) 3 1 15 5) 1 1 5 1 1 1 2 2 3 5 60 × × × = The LCD is 60. 5. 5 25 6 30 7 14 15 30 39 9 3 1 1 30 30 10 = + = + = = 6. 5 15 8 24 7 14 12 24 29 5 1 24 24 = + = + = 7. 5 5 4 4 6 6 1 3 7 7 2 6 8 2 1 11 12 12 6 6 3 = + = + = = 8. 5 20 23 23 12 48 7 21 48 48 16 48 41 71 48 = + = + 9. 5 20 51 51 18 72 9 27 86 86 24 72 47 137 72 = + = + 10. 7 7 5 5 12 12 1 3 3 3 4 12 2 8 2 2 3 12 18 6 1 10 11 11 12 12 2 = = + = + = = 11. 7 21 8 24 3 3 2 2 24 24 1 4 6 6 6 24 28 4 1 8 9 9 24 24 6 = = + = + = = 12. 5 20 3 3 9 36 1 3 5 5 12 36 2 24 2 2 3 36 47 11 10 11 36 36 = = + = + = 13. 7 8 3 8 4 1 8 2 − = 14. 8 9 2 9 6 2 9 3 − = 15. 3 21 4 28 5 20 7 28 1 28 = − = − 16. 2 4 9 9 3 6 1 3 6 6 2 6 1 3 6 = − = − 17. 9 15 14 9 7 7 12 12 9 9 2 2 9 = − = − 18. 3 6 16 21 21 20 5 10 10 7 7 7 12 12 12 10 10 10 9 8 10 = = − = − = −

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    Chapter 2 11 19. 8 32 15 15 15 60 5 25 7 7 12 60 7 8 60 = − = − 20. 1 3 27 23 23 22 8 24 24 7 14 14 12 24 24 13 22 24 = = − = − = − 21. 1 8 3 5 1 3 3 − 22. 1 6 12 11 5 5 4 4 7 7 5 5 2 4 5 = − = − 23. 3 3 5 11 11 18 4 4 8 6 6 5 11 11 18 8 8 8 17 1 40 42 yards 8 8 + + = + + = = 24. 3 5 3 3 42 37 12 23 8 8 8 4 3 5 3 6 42 37 12 23 8 8 8 8 17 1 114 116 feet 8 8 + + + = + + + = = 25. 3 3 5 5 5 10 10 12 12 12 4 4 8 8 8 5 1 1 12 8 8 8 2 2 6 6 5 5 5 10 10 12 12 12 8 8 8 8 8 5 4 4 40 12 8 8 84 89 feet 8 8 8 8 + + + + + + + = + + + + + + + = = 26. 4 4 4 3 3 4 4 4 7 7 5 5 5 8 8 32 32 32 15 15 4 4 4 7 7 40 40 40 40 40 126 3 26 29 inches 40 20 + + + + = + + + + = = 27. 1 8 1 45 42 44 42 8 8 8 7 2 yards; she can use the fabric. 8 − = − = 28. 3 4 3 1 12 10 11 10 1 feet 4 4 4 4 − = − = 29. 15 5 15 10 5 13 12 13 12 1 feet 16 8 16 16 16 1 5 9 5 4 1 14 12 13 12 1 1 feet 8 8 8 8 8 2 5 8 5 3 14 12 13 12 1 feet 8 8 8 8 13 5 13 10 3 13 12 13 12 1 feet 16 8 16 16 16 − = − = − = − = = − = − = − = − = 30. 3 3 6 2 1 8 8 16 17 17 4 4 4 4 2 1 2 1 36 17 35 17 2 2 2 1 18 inches 2 + = = = − = − = 2-3, p. 65 1. 1 2 3 4 3 8 5 10 × = 2. 5 1 5 7 6 42 × = 3. 23 35 805 13 22 4 9 36 36 × = = 4. 1 3 24 8 × 3 9 1 = 5. 12 7 6. 5 3 7. 1 9 8. 1 12 9. 4 39 7 5 ; 7 7 39 = 10. 3 27 8 3 ; 8 8 27 = 11. 1 2 5 3 5 4 5 8 4 8 3 6 ÷ = × = 12. 1 1 3 9 3 10 5 10 5 ÷ = × 2 3 2 9 3 =

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    12 Chapter 2 13. 2 1 12 8 12 2 1 5 7 5 7 ÷ = ÷ = 3 2 7 21 1 2 5 8 10 10 × = = 14. 1 2 21 8 21 3 63 31 5 2 1 4 3 4 3 4 8 32 32 ÷ = ÷ = × = = 15. 1 7 1 7 7 5 8 5 8 40 × × = = × Each store will receive 7 40 of the original order. 16. 1 1 1 4 1 4 1 4 5 4 5 5 × × = = × Each store will receive 1 5 of the original order. 17. 1 2 1 4 33 33 1 4 4 16 feet 8 1 8 2 2 × = × = = Yes, if no more than a total of 1 8 inch is needed for spacing between the desks. 18. 1 2 5 4 149 149 1 4 18 74 feet 8 1 8 2 2 × = × = = 19. 1 1 13 28 3 28 4 4 × = × 7 91 91 inches long 1 1 = = 28 2 14 inches wide ÷ = 91 inches long 14 × inches wide 20. 1 75 9 75 75 1 8 1 8 ÷ = ÷ = 25 3 8 1 9 200 3 2 66 , or 67 sheets 3 × = = 21. 3 3 5 3 1 3 5 4 4 1 4 5 20 ÷ = ÷ = × = 22. 3 35 40 40 8 40 4 4 ÷ = ÷ = 8 4 1 35 × 7 32 7 4 4 ; 4 boxes 7 = = 23. 3 39 200 4 800 200 9 200 4 4 1 39 39 20 20 rooms 39 ÷ = ÷ = × = = 24. 1 21 7 21 21 3 2 1 2 ÷ = ÷ = 3 1 2 6 1 7 × = 6 cabinets will exactly fit along the wall. Exercise Set, p. 72 1. Examples will vary, 3 7 5 100 41 , , , , ; 5 9 8 301 53 proper fractions 2. Examples will vary, 4 8 12 132 7 , , , , ; 4 5 4 89 1 improper fractions 3. proper 4. improper 5. improper 6. improper 7. 2 20 3 8. 7 9. 1 8 2 10. 3 4 20 4 83 8 3 0 3 11. 7 15 3 15 52 45 7 12. 9 10 1 10 19 10 9 13. 7 11 77 77

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