Write and solve equation for coin word problem

Joe has $6.05 in quarters and dimes. He has 8 fewer quarters than dimes. How many of each coin does he have? Please explain how to set up and solve.
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let x = 25q y = 10(q+8) working equation : x + y = 6.05 solution : 25q + 10(q+8) = 605 25q + 10q + 80 = 605 35q = 605 - 80 35q = 525 q = 15 checking : 25(15) + 10(15+8) = 605 375 + 230 = 605 605 = 605
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