SOLUTION: Megan has a total of 26 coins. The coins are dimes and nickles and have a total value of $2.20. how many of each coin does she have?

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Question 480609: Megan has a total of 26 coins. The coins are dimes and nickles and have a total value of $2.20. how many of each coin does she have?
Answer by emargo19(101) About Me  (Show Source):
You can put this solution on YOUR website!
let dimes= d
value of dimes= 10d
let nickels=n
value of nickels=5n
d%2Bn=26 ---eq(1)
Convert $2.20 into cents so it is all in the same units. So as 1 dollar=100 cents.
2.20*100=220 cents
10d%2B5n=220-----eq(2)

d%2Bn=26 ----eq(1) multiply by 5
5d%2B5n=120------eq(1)
10d%2B5n=220-----eq(2)
change the signs for the eq(2)
So
5d%2B5n=120------eq(1)
-10d-5n=-220-----eq(2)
--------------------
-5n =-100
n=20
Substitute n=20 in eq (1)
d%2B20=26
d=6
There are 20 nickels and 6 dimes