SOLUTION: there are two times as many dimes as nickels, and the value of the dimes is $1.65 more than the value of the nickles. How many nickels and dimes is there?

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Question 800418: there are two times as many dimes as nickels, and the value of the dimes is $1.65 more than the value of the nickles. How many nickels and dimes is there?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+d+=+2n+
+10d++=+5n+%2B+165+
-------------------
By substitution:
+10%2A%28+2n+%29+=+5n+%2B+165+
+20n+=+5n+%2B+165+
+15n+=+165+
+n+=+11+
and
+d+=+2n+
+d+=+2%2A11+
+d+=+22+
There are 11 nickels and 22 dimes
check:
+11%2A5+=+55+
+22%2A10+=+220+
+220+-+55+=+165+
OK