Posted by **mel** on Tuesday, September 27, 2011 at 6:54pm.

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 -
**MathMate**, Tuesday, September 27, 2011 at 7:36pm
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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