Carl collects coins compulsively, but he only likes quarters ($0.25) and dimes ($0.10). Carl currently has 125 coins for a total of $26.00.

Question

Carl collects coins compulsively, but he only likes quarters ($0.25) and dimes ($0.10). Carl currently has 125 coins for a total of $26.00. How many of each coin does Carl have?

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Thông Đạt 4 years 2021-08-16T11:10:35+00:00 1 Answers 16 views 0

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  1. Ben
    0
    2021-08-16T11:12:29+00:00
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    Answer:

    90 Quarters

    35 dimes

    Step-by-step explanation:

    Coins collected by Carl:

    Quarters = $0.25

    Dimes = $0.10

    Total number of coins with Carl = 125

    Total worth of coins = $26.00

    Let number of quarters = q ; and dimes = d

    0.25q + 0.10d = 26 – – – (1)

    q + d = 125 – – – (2)

    q = 125 – d

    Substitute into (2)

    0.25(125 – d) + 0.10d = 26

    31.25 – 0.25d + 0.10d = 26

    31.25 – 0.15d = 26

    31.25 – 26 = 0.15d

    5.25 = 0.15d

    d = 5.25 / 0.15

    d = 35

    q = 125 – d

    q = 125 – 35

    q =. 90

    90 Quarters

    35 dimes

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