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?

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) (Show Source): You can put this solution on YOUR website!
Let q = # of quarters, n = # of nickels.
Then from the given, , and
From the first equation, .
Substituting this into the second equation gives

This gives
Therefore there are 11 nickels and 7 quarters.
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