SOLUTION: If there is 66 coins only nickels and dimes for a total of $4.40 how many of the coins are dimes how many are nickels?

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Question 1009737: If there is 66 coins only nickels and dimes for a total of $4.40 how many of the coins are dimes how many are nickels?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = numbe of nickels
Let +d+ = number of dimes
-------------------------
(1) +n+%2B+d+=+66+
(2) +5n+%2B+10d+=+440+ ( in cents )
------------------------------
This is 2 equations and 2 unknowns,
so it's solvable
(2) +n+%2B+2d+=+88+
Subtract (1) from (2)
(2) +n+%2B+2d+=+88+
(1) +-n+-+d+=+-66+
------------------
+d+=+22+
and
(1) +n+%2B+d+=+66+
(1) +n+%2B22+=+66+
(1) +n+=+44+
There are 44 nickels and 22 dimes
check:
(2) +5n+%2B+10d+=+440+
(2) +5%2A44+%2B+10%2A22+=+440+
(2) +220+%2B+220+=+440+
(2) +440+=+440+
OK