SOLUTION: A student finds a pile of nickels and dimes, and immediately announces "I found two dollars and fifteen cents!" If the number of dimes is 4 more than the 3 times the number of nick

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Question 1120920: A student finds a pile of nickels and dimes, and immediately announces "I found two dollars and fifteen cents!" If the number of dimes is 4 more than the 3 times the number of nickels, how many of each coin did this student find?.
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
N=number of nickels
D=number of dimes

Then
(1) 5N+10D = 215
(2) D = 4+3N


Sub for D from (2) into (1):
5N + 10(4+3N) = 215
Solving, yields highlight%28N=5%29 and plugging into (2) gives highlight%28+D=19%29++
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Check: 5(5) + 10(19) = 25+190 = 215 (ok)
and 4+3(5) = 4+15 = 19 (ok)