Ben has twenty-six coins in her pocket are all dollars(1$ coins) and quarters, and they add up to seventeen dollars in value. How many of ea

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Ben has twenty-six coins in her pocket are all dollars(1$ coins) and quarters, and they add up to seventeen dollars in value. How many of each coin does he have

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Amity 4 years 2021-08-02T05:24:12+00:00 1 Answers 34 views 0

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  1. Gerda
    0
    2021-08-02T05:25:22+00:00
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    Answer:

    14 $1 coin

    12 quarter coin

    Step-by-step explanation:

    Let :

    x = $1 dollar coin

    y = $0.25 (1 quarter) coin

    x + y = 26 – – – (1)

    1x + 0.25y = 17 – – – – (2)

    From (1) :

    x = 26 – y

    Put x = 26 – y in (2)

    1(26 – y) + 0.25y = 17

    26 – y + 0.25y = 17

    -y + 0.25y = 17 – 26

    -0.75y = – 9

    Divide both sides by – 0.75

    -0.75y /- 0.75 = – 9 / – 0.75

    y = 12

    Put y = 12 in (1)

    x = 26 – 12

    x = 14

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