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12 March, 19:07

Melissa bought a new car with 12 optional features to the car. Each optional feature costs either $23.99 or $120.84. If she paid $675.28 for all the optional features, how many of each type did she buy? Write and solve an equation to solve this problem. Show all your work.

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  1. 12 March, 19:14
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    Fetures are x and y

    x+y=12

    23.99x+120.84y=675.28

    x+y=12

    multiply by - 23.99 and add to other equation

    -23.99x-23.99y=-287.88

    23.99x+120.84y=675.28 +

    0x+96.85y=387.4

    96.85y=387.4

    divde both sides by 96.85

    y=4

    sub back

    x+y=12

    x+4=12

    minus 4

    x=8

    8 of the features costing $23.99

    4 of the features costing $120.84
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