SOLUTION: Melissa has 18 nickels and 22 dimes. Now suppose she spends 8 of her coins. She spends 4 more nickels than dimes. What is the value of the coins that she has left?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Melissa has 18 nickels and 22 dimes. Now suppose she spends 8 of her coins. She spends 4 more nickels than dimes. What is the value of the coins that she has left?      Log On

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Question 978555: Melissa has 18 nickels and 22 dimes. Now suppose she spends 8 of her coins. She spends 4 more nickels than dimes. What is the value of the coins that she has left?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = the number of dimes she spends
Let +n+ = the number of nickels she spends
(1) +d+%2B+n+=+8+
(2) +n+=+d+%2B+4+
-----------------
(2) +-d+%2B+n+=+4+
Add (1) and (2)
+2n+=+12+
+n+=+6+
and
(1) +d+%2B+n+=+8+
(1) +d+%2B+6+=+8+
(1) +d+=+2+
-----------------
She has left:
+18+-+n+ nickels
+22+-+d+ dimes
------------------
The value of what she has left is:
+5%2A18+-+5n+=+5%2A%28+18+-+6+%29+
+5%2A12+=+60+ cents in nickels
-----------------------------
+10%2A22+-+10d+=+10%2A%28+22+-+2+%29+
+10%2A20+=+200+ cents in dimes
-----------------------------
She has $2.60 left
-----------------
check the answer:
She spent
+5n+%2B+10d+=+5%2A6+%2B+10%2A2+
+30+%2B+20+=+50+ cents spent
-----------------
+260+%2B+50+=+310+
She started with $3.10
+5%2A18+%2B+10%2A22+=+90+%2B+220+
+90+%2B+220+=+310+
She started with $3.10
OK