Wednesday, November 14, 2012

Coin Stacks

US coins have different thicknesses as specified below:
Penny 1.55 mm
Nickel 1.95 mm
Dime 1.35 mm
Quarter 1.75 mm
Two stacks of coins may have the same height but a different number of coins. For example, a stack of 39 pennies has a height of 39 × 1.55 = 60.45 mm, and a stack of 31 nickels also has a height of 31 × 1.95 = 60.45 mm. Find the smallest number of dimes and quarters that can likewise be made into two stacks the same height.
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