SOLUTION: Katie has a collection of nickels, dimes and quarters with a total value of $4.85. There are 4 more dimes than nickels and 5 more quarters than nickels, how many of each coin doe

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Question 1107452: Katie has a collection of nickels, dimes and quarters with a total value of
$4.85. There are 4 more dimes than nickels and 5 more quarters than nickels, how many of each coin does she have?
Answer by ikleyn(52855) About Me  (Show Source):
You can put this solution on YOUR website!
.
Value of Nickels + value of dimes + value of quarters = 485 cents


5N               + 10*(N+4)       + 25*(N+5)          = 485


5N + 10*(N+4) + 25*(N+5) = 485

5N + 10N + 40 + 25N + 125 = 485

40N = 485 - 40 - 125 = 320  ===>  N= 320%2F40 = 8.


Answer.  8 nickels,  8+4 = 12 dimes  and  8+5 = 13 quarters.


Check.   8*5 + 12*10 + 13*25 = 485 cents.   ! Correct !