SOLUTION: A box contains $6.25 in nickels, dimes, and quarters. There are 85 coins in all, with three times as many nickels as dimes. How many quarters are there.

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Question 291019: A box contains $6.25 in nickels, dimes, and quarters. There are 85 coins in all, with three times as many nickels as dimes. How many quarters are there.
Answer by Greenfinch(383) About Me  (Show Source):
You can put this solution on YOUR website!
no of dimes is X, no of nickels is 3X, no of quarters is 85 - 4X
so 10X + (3Xx5) + (85 - 4x)x25 = 625 (do it all in cents)
10X + 15X + 2125 -100X = 625
-75X = -1500
X = 20,
so 20 dimes, 60 nickels and 5 quarters
To check 20 x 10 = 200
60 x 5 = 300
5 x 25 = 125
total = 625 or $6.25