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) (Show Source): You can put this solution on YOUR website!
let dimes= d
value of dimes= 10d
let nickels=n
value of nickels=5n
---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
-----eq(2)
----eq(1) multiply by 5
------eq(1)
-----eq(2)
change the signs for the eq(2)
So
------eq(1)
-----eq(2)
--------------------
=
Substitute n=20 in eq (1)
There are 20 nickels and 6 dimes
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