SOLUTION: 0.10x+(40-x)0.25=6.70 Joe has $6.70 in quarters and dimes. If there are forty 40 coins in all, how many of each kind are there?

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Question 403234: 0.10x+(40-x)0.25=6.70
Joe has $6.70 in quarters and dimes. If there are forty 40 coins in all, how many of each kind are there?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The way I do it is:
Let d = number of dimes
Let q = number of quarters
-------------------------
given:
(1) d+%2B+q+=+40
(2) 10+d+%2B+25q+=+670 (in cents)
--------------------------
Multiply both sides of (1) by 10, and
subtract (1) from (2)
(2) 10+d+%2B+25q+=+670
(1) -10d+-+10q+=+-400
15q+=+270
q+=+18
and, from (1),
d+%2B+18+=+40
d+=+22
There are 22 dimes and 18 quarters
check answer:
(2) 10+d+%2B+25q+=+670
(2) 10+%2A22+%2B+25%2A18+=+670
(2) 220+%2B+450+=+670
670+=+670
OK