pre algebra

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in vanessas coin bank there are 4 times as many quarters as nickels, 2 fewer dimes than nickles and 15 pennies.the total amount in the bank is 5.80. how many of each coin are in the bank

  • pre algebra -

    I believe the amount in the bank should be 5.70. If not, check and make sure all INFO is correct.

    Nickels = X,
    Qtrs = 4X,
    Dimes = (X - 2),
    Pennies = 15.

    5X + 25*(4X)+ 10(X - 2)+ 15 = 570.

    5X + 100X + 10X - 20 + 15 = 570,
    115X - 5 = 570,
    115X = 575,
    X = 575 / 115 = 5.

    Nickels = X = 5.
    Quarters = 4x = 4*5 = 20,
    Dimes = X - 2 = 5 - 2 = 3,
    Pennies = 15

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