SOLUTION: Tabitha has $3.20 in quarters and nickels. If she has 20 coins in all, how many quarters does she have?

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Question 214061: Tabitha has $3.20 in quarters and nickels. If she has 20 coins in all, how many quarters does she have?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let q be the number of quaters and n be the number of nickles
You are told that q+%2B+n+=+20
You are also told that 0.25q+%2B+0.05n+=+3.20
You have two equations and 2 unknows, so you can solve this one.
q+%2B+n+=+20
n+=+20-q
0.25q+%2B+0.05n+=+3.20
25q+%2B+5n+=+320
25q+%2B+5%2820-q%29+=+320
25q+%2B+100+-+5q+=+320
20q+=+220
q+=+11
Check your answer
Is there are 11 quarters, then there must be 9 nickels (11+9 = 20)
Is 0.25%2A11+%2B+0.05%2A9+=+3.20????