SOLUTION: Travis has a total of 33 coins consisting of nickels and quarters. The total value of the coins is $4.25. How many of each type of coin does he have?

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Question 1128868: Travis has a total of 33 coins consisting of nickels and quarters. The total value of the coins is $4.25. How many of each type of coin does he have?
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
nickels: n
quarters: q
^^^
n+q = 33 and therefore n = 33-q
0.05n + 0.25q = 4.25 substitute for n:
0.05(33-q) + 0.25q = 4.25
1.65 - 0.05q + 0.25q = 4.25
0.20q = 2.60
q = 13
So Travis has 13 quarters and 33-13=20 nickels