SOLUTION: If Bill has 2 times as many quarters as dimes and they have a combined value of 480 cents, how many of each coin does he have?

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Question 1034090: If Bill has 2 times as many quarters as dimes and they have a combined value of 480 cents, how many of each coin does he have?
Found 2 solutions by addingup, ikleyn:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
q = 2d
25q+10d = 480 cents Substitute for q
25(2d)+10d = 480
50d+10d = 480
60d = 480
d = 8 = 80 cents in dimes
480-80=400 cents in quarters which equals 400/25 = 16 quarters
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check
16*25 = 400 in quarters
8+10 = 80 in dimes
. . . ----
Total. 480 cents

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
If Bill has 2 times as many quarters as dimes and they have a combined value of 480 cents, how many of each coin does he have?
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If Bill has 2 times as many quarters as dimes, then he can combine every two quarters with one dime.
The value of each such group will be 2*25 + 10 = 60 cents, and the number of all such groups would be 480%2F60 = 8.
Answer. 16 quarters and 8 dimes.