Math

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the banks contains quarters , dime and nickels. The number of dimes is 1 less than the number of nickels. The number of nickels is 2 more than twice the number of quarters. The coins are worth $5.70. How many nickels are there?

  • Math -

    Just take each sentence and write it symbols.

    d = n-1
    n = 2 + 2q

    10d + 5n + 25q = 570

    substitute for d:

    10(n-1) + 5n + 25q = 570
    10n - 10 + 5n + 25q = 570
    15n + 25q = 580

    substitute for n:

    15(2+2q) + 25q = 580
    30 + 30q + 25q = 580
    55q = 550
    q = 10
    so, n = 2+2*10 = 22
    so, d = 22-1 = 21

    10(21) + 5(22) + 10(25) = 210 + 110 + 250 = 5.70

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