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Six hundred pennies are placed in a row. If every other penny is replaced by a nickel and every third coin is replaced by a quarter, what is the final value of the 600 coins?

  • math - ,

    600 pennies = $6.00
    after replacement by a nickel, there are 300 pennies and 300 nickels.
    Value = 300*0.01 + 300*0.05 = $18.00

    Finally, the replacement by quarters every third coin means that one-third of the nickels and one-third of the pennies will be replaced by quarters.
    Think of the replacement process: the first one encountered is a penny, the next one is a nickel, the third one is a penny, .....

    In the end, there will be
    200 pennies,
    200 nickels, and
    200 quarters.

    Total value = 200(0.01+0.05+0.25)=$62.00

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