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12.4.6: Chapter 6

  • Page ID
    119027
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    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.

    Answers will vary.

    241.

    Answers will vary.

    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.

    Answers will vary.

    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.

    −52


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