SOLUTION: I have $14.80 in dimes and quarters number of quarters 2 less than 3 times of dimes. How many quarters in total?

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Question 994032: I have $14.80 in dimes and quarters number of quarters 2 less than 3 times of dimes.
How many quarters in total?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number of quarters be Q and the number of dimes be D
Q+=+3D-2
1480+=+25Q+%2B+10D%29
1480+=+25%283D-2%29+%2B+10D
1480+=+75D-50+%2B+10D
1530+=+85D
18+=+D
That means we have Q=%283%2A18%29+-+2
Q+=+52