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1 July, 11:07

Zachary has nickels, dimes and quarters in his piggy bank. He has 58 coins with a total value of $6.50. There are twice as many dimes as nickel. How many of each coin does he have?

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  1. 1 July, 15:05
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    nickel = 16

    dimes = 32

    quarters = 10

    Step-by-step explanation:

    Given that,

    number of coins Zachery have in his piggy bank = 58

    total money Zachery have in his piggy bank = $6.50

    Suppose number of nickel = x

    number of dimes = 2x

    number of quarters = y

    1 nickel = $0.05

    1 dime = $0.10

    1 quarter = $0.25

    Equation 1

    x + 2x + y = 58

    3x + y = 58

    Equation 2

    x (0.05) + 2x (0.10) + y (0.25) = 6.50

    0.05x + 0.2x + 0.25y = 6.50

    0.25x + 0.25y = 6.50

    y = 58 - 3x

    put value of y in equation 2

    0.25x + 0.25 (58 - 3x) = 6.50

    0.25x + 14.5 - 0.75x = 6.50

    -0.5x = 6.50 - 14.5

    -0.5x = - 8

    x = 16

    y = 58 - 3x

    y = 58 - 3 (16)

    y = 10

    number of nickel = x = 16

    number of dimes = 2x = 32

    number of quarters = y = 10
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