SOLUTION: Bob has 60 coins consisting of quarters and dimes. The coins combined value is $9.45. Find out how many quarters and how many dimes. How do i set this up?

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Question 409124: Bob has 60 coins consisting of quarters and dimes. The coins combined value is $9.45. Find out how many quarters and how many dimes. How do i set this up?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let q = number of quarters
Let d = number of dimes
given:
(1) 25q+%2B+10d+=+945 (in cents)
(2) q+%2B+d+=+60
Multiply both sides of (2) by 10
and subtract from (1)
(1) 25q+%2B+10d+=+945
(2) -10q+-+10d+=+-600
15q+=+345
q+=+23
and, since
(2) q+%2B+d+=+60
d+=+60+-+23
d+=+37
There are 37 dimes and 23 quarters
check answer:
(1) 25q+%2B+10d+=+945
(1) 25%2A23+%2B+10%2A37+=+945
575+%2B+370+=+945
945+=+945
OK