SOLUTION: there is $5.40 and there is 27 coins how many quater and dimes are there that make up the 5.40?

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Question 397281: there is $5.40 and there is 27 coins how many quater and dimes are there that make up the 5.40?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Le d = number of dimes
Let q = number of quarters
given:
(1) d+%2B+q+=+27
(2) 10d+%2B+25q+=+540 (in cents)
Multiply both sides of (1) by 10,
and subtract (1) from (2)
(2) 10d+%2B+25q+=+540
(1) -10d+-+10q+=+-270
15q+=+270
q+=+18
and, since,
d+%2B+18+=+27
d+=+9
There are 9 dimes and 18 quarters
check answer:
(2) 10d+%2B+25q+=+540
10%2A9+%2B+25%2A18+=+540
90+%2B+450+=+540
540+=+540
OK