# math

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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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