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6 December, 11:18

Sean Michael has a jar of nickels and dimes he has 1530 coins that total 127.45 how many of each coin does he have

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  1. 6 December, 12:44
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    Let d = number of dimes

    Let n = number of nickels

    d + n = 1530

    A dime is worth $0.10. d dimes are worth 0.1d.

    A nickel is is worth $0.05. n nickels are worth 0.05n.

    0.1d + 0.05n = 127.45

    Solve the first equation for d and substitute into the second equation.

    d = 1530 - n

    0.1 (1530 - n) + 0.05n = 127.45

    153 - 0.1n + 0.05n = 127.45

    -0.05n = - 25.55

    n = 511

    Now substitute this value in the first original equation.

    d + n = 1530

    d + 511 = 1530

    d = 1019

    He has 511 nickels and 1019 dimes.
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