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Sam has twice as many dimes as quarters and two less nickels than dimes. If Sam has a total of $5.40, how many of each coin does he have?

User ManOVision
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1 Answer

3 votes

Answer:

  • 10 quarters
  • 20 dimes
  • 18 nickels

Explanation:

If we add 2 nickels to Sam's coin collection, we can group the coins into groups that contain 1 quarter, 2 dimes, and 2 nickels. Each group is worth $0.55, and all of the coins together will be worth $5.50.

That is, there are $5.50/$0.55 = 10 groups of coins.

Sam has 10 quarters, 20 dimes, and two fewer nickels than 20, so 18 nickels.

User Dragosht
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