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18 February, 04:53

Kitara has 100 quarters and dimes. Their total value is $19. How many of each coin does Kitara have?

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  1. 18 February, 05:15
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    Q + d = 100 so q = 100 - d

    0.25q + 0.10d = 19

    substitute q = 100 - d into 0.25q + 0.10d = 19

    0.25q + 0.10d = 19

    0.25 (100 - d) + 0.10d = 19

    25 - 0.25d + 0.10d = 19

    -0.15d = - 6

    d = 40

    q = 100 - 40 = 60

    answer

    Kitara has 60 quarters and 40 dimes
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