SOLUTION: A pop machine contains nickels, dimes and quarters worth 112.25. There are three times as many quarters as there are dimes and 85 more nickels than dimes. How many of each coin are

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Question 1002118: A pop machine contains nickels, dimes and quarters worth 112.25. There are three times as many quarters as there are dimes and 85 more nickels than dimes. How many of each coin are there? Let statement is needed.
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
let n be nickels, d be dimes and q quarters
n = d + 85
q = 3d
0.05*(d+85) +0.10d + 0.25(3d) = 112.25
0.05d + 4.25 + 0.10d + 0.75d = 112.25
0.90d +4.25 = 112.25
0.90d = 108.00
d = 120
n = 205
q = 360
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check answer
0.05*205 + 0.10*120 + 0.25*360 = 112.25
10.25 + 12.00 + 90.00 = 112.25
112.25 = 112.25
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