SOLUTION: Nancy has 26 coins in her pocket. The coins are dimes and quarters and worth $3.65. How many dimes does she have? How many quarters does she have?

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Question 213532: Nancy has 26 coins in her pocket. The coins are dimes and quarters and worth $3.65. How many dimes does she have? How many quarters does she have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let d = number of dimes
Let q = number of quarters
given:
(1) d+%2B+q+=+26
(2) 10d+%2B+25q+=+365 (in cents)
Multiply both sides of (1) by 10
and subtract (1) from (2)
10d+%2B+25q+=+365
-10d+-+10q+=+-260
15q+=+105
q+=+7
and, since
d+%2B+q+=+26
d+%2B+7+=+26
d+=+19
Nancy has 19 dimes and 7 quarters
check:
(2) 10d+%2B+25q+=+365
10%2A19+%2B+25%2A7+=+365
190+%2B+175+=+365
365+=+365
OK