SOLUTION: Travis has a total of 31 coins consisting of nickels and quarters. The total value of the coins is $3.15. How many of each type of coin does he have?

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Question 992414: Travis has a total of 31 coins consisting of nickels and quarters. The total value of the coins is $3.15. How many of each type of coin does he have?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
n = number of nickels
q = number of quarters

n + q = 31
5n + 25q = 315

Multiply the first equation by 25.

25n + 25q = 775
-(5n + 25q = 315)
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20n = 460
n = 23

Travis has 23 nickels and 8 quarters.