SOLUTION: There are two times as many dimes as nickles, and the value of the dimes in $1.65 more than the value of the nickles. How many nickles and dimes total.

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Question 405108: There are two times as many dimes as nickles, and the value of the dimes in $1.65 more than the value of the nickles. How many nickles and dimes total.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let n = number of nickels
Let d = number of dimes
given:
d+=+2n
10d++=+5n+%2B+165 (in cents)
By substitution:
10%2A2n+=+5n+%2B+165
20n+-+5n+=+165
15n+=+165
n+=+11
and
d+=+2n
d+=+22
There are 11 nickels and 22 dimes
check answer:
10d++=+5n+%2B+165
10%2A22+=+5%2A11+%2B+165
220+=+55+%2B+165
220+=+220
OK