SOLUTION: Tony has 18 coins in his pocket that worth $2.30. The pocket contains only quarters and nickels. How many coins of each type does he have?

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Question 352519: Tony has 18 coins in his pocket that worth $2.30. The pocket contains only quarters and nickels. How many coins of each type does he have?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let q = # of quarters, n = # of nickels.
Then from the given, q%2Bn=18, and 0.25q%2B0.05n=2.30
From the first equation, q=18-n.
Substituting this into the second equation gives
0.25%2A%2818-n%29%2B0.05n=2.30
4.5-0.25n%2B0.05n=2.30
-0.2n=-2.2
n=%28-2.2%29%2F%28-0.2%29
n=11
This gives q=18-11=7
Therefore there are 11 nickels and 7 quarters.