SOLUTION: A pop machine contains nickels, dimes and quarters worth 112.25. There are three times as many quarters as there are dimes and 91 more nickels than dimes. How many of each coin are

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Question 1002026: A pop machine contains nickels, dimes and quarters worth 112.25. There are three times as many quarters as there are dimes and 91 more nickels than dimes. How many of each coin are there?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
n = number of nickels
d = number of dimes
q = number of quarters

5n + 10d + 25q = 11225
q = 3d
n = d + 91

Write everything in terms of d.

5n + 10d + 25q = 11225
5(d + 91) + 10d + 25(3d) = 11255
90d + 455 = 11255
90d = 10800
d = 120

There are 211 nickels, 120 dimes, and 360 quarters.