SOLUTION: Lisa has 45 coins that are worth a total of $3.50. If the coins are all nickels and dimes, how many more dimes than nickels does she have?

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Question 1025836: Lisa has 45 coins that are worth a total of $3.50. If the coins are all nickels and dimes, how many more dimes than nickels does she have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of nickels she has
Let +d+ = number of dimes she has
(1) +n+%2B+d+=+45+
(2) +5n+%2B+10d+=+350+ ( in cents )
-------------------------------
(2) +n+%2B+2d+=+70+
Subtract (1) from (2)
(2) +n+%2B+2d+=+70+
(1) +-n+-+d+=+-45+
--------------------
+d+=+25+
and
(1) +n+%2B+d+=+45+
(1) +n+%2B+25+=+45+
(1) +n+=+20+
-------------------
+d+-+n+=+25+-+20+
+d+-+n+=+5+
She has 5 more dimes than nickels