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If you let N represent how many of each coin you have, their values are:

  • N pennies = N cents
  • N nickels = 5N cents
  • N dimes = 10N cents
so the total value is N + 5N + 10N = 16N cents. That must be equal to $7.68, or 768 cents, so the final equation is
  • 16N = 768
Solving for N gives you 768/16, or 48 of each coin.
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Q: You have 7.68 with equal amounts of dimes nickels and pennies. How many dimes do you have?
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