SOLUTION: A restaurant bill of $2.85 was paid using quarters and dimes only. If twice the number of quarters is 6 less than 4 times the number of dimes, how many quarters were used?

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Question 1006993: A restaurant bill of $2.85 was paid using quarters and dimes only. If twice the number of quarters is 6 less than 4 times the number of dimes, how many quarters were used?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
d = number of dimes
q = number of quarters

10d + 25q = 285
2q = 4d - 6

Substitute q = 2d - 3 into the first equation.

10d + 25(2d - 3) = 285
10d + 50d - 75 = 285
60d = 360
d = 6

6 dimes were used and 9 quarters were used.