SOLUTION: Katie has a collection of nickels, dimes and quarters with a total value of $6.10. There are 3 more dimes than nickels and 4 more quarters than nickels, how many of each coin does
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Question 1067798: Katie has a collection of nickels, dimes and quarters with a total value of $6.10. There are 3 more dimes than nickels and 4 more quarters than nickels, how many of each coin does she have? Answer by ikleyn(52775) (Show Source):
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Katie has a collection of nickels, dimes and quarters with a total value of $6.10.
There are 3 more dimes than nickels and 4 more quarters than nickels, how many of each coin does she have?
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Let N be the number of nickels.
Then the number of dimes is (N+3) and the number of quarters is (N+4).
The nickels contribute 5N cents to the total.
The dimes contribute 10*(N+3) cents to the total.
The dimes contribute 25*(N+4) cents to the total.
The "value" equation is
5N + 10(N+3) + 25(N+4) = 610 cents, or
5N + 10N + 30 + 25N + 100 = 610, or
40N = 610 - 30 - 100,
40N = 480,
N = = 12.
Answer. 12 nickels, 12+3 = 15 dimes and 12+4 = 16 quarters.
