SOLUTION: A bank contains $9.45 in dimes and quarters. If there are 48 coins in all, how many of each type are there? Use only one unknown(i.e. just x)

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Question 737801: A bank contains $9.45 in dimes and quarters. If there are 48 coins in all, how many of each type are there? Use only one unknown(i.e. just x)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
I have $9.45 in quarters and dimes in my pocket.
If there are 48 coins in all, there is x quarters and 48-x dimes

.10%2848-x%29+%2B+.25x+=+9.45
4.8+-+0.10x+%2B+.25x+=+9.45
+-+0.10x+%2B+.25x+=+9.45-4.8
+.15x=+4.65
x+=+4.65%2F.15
x+=+31................quarters
and dimes:
+48-31
+17................dimes