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23 December, 12:26

Timmy has almost $2.00 in allowance money that he wants to spend on candy. he has two favorite candies, one selling at $0.15 a piece and one at $0.08 a piece. if he ends up spending $1.92 on 17 pieces of candy, how many $0.15 pieces of candy did timmy decide to buy?

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  1. 23 December, 13:06
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    Let's call

    x = Amount of candy sold at $ 0.15.

    y = Amount of candy sold at $ 0.08.

    We must make the following system of equations:

    x + y = 17

    0.15x + 0.08y = 1.92

    Solving the system of equations:

    0.15x + 0.08 (17-x) = 1.92

    0.15x-0.08x + 1.36 = 1.92

    0.15x-0.08x = 1.92-1.36

    0.07x = 0.56

    x = 0.56 / 0.07 = 8

    On the other hand,

    x + y = 17

    8 + y = 17

    y = 17-8 = 9

    Finally, Timmy bought 8 pieces of candy for $ 0.15.
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