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18 November, 07:05

Clayton has saved $5.65 in dimes and quarters. He has 10 more quarters than dimes. How many of each denomination of coins does he have?

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  1. 18 November, 08:36
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    Answer: Dimes: 9

    Quarters : 19

    Step-by-step explanation:

    Hi, to answer this question we have to write a system of equations using the information given:

    He has 10 more quarters than dimes

    Q = D + 10

    Clayton has saved $5.65 in dimes and quarters

    0.25 Q + 0.10 D = 5.65

    Where:

    Q = number of quarters

    D = number of dimes

    Replacing the value of Q for (D+10) in the second equation:

    0.25 (D + 10) + 0.10 D = 5.65

    0.25D + 2.5 + 0.10D = 5.65

    0.25D + 0.10 D = 5.65-2.5

    0.35 D = 3.15

    D = 3.15/0.35

    D=9

    Replacing the value of D by 13 in the first equation:

    Q = D + 10

    Q = 9 + 10 = 19
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