SOLUTION: Jimmy has a pocket full of quarters and nickels. There are a total of 50 coins. When he added it all up he had $10.50. How many nickels did he have?

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Question 1177425: Jimmy has a pocket full of quarters and nickels. There are a total of 50 coins. When he added it all up he had $10.50. How many nickels did he have?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Jimmy has a pocket full of quarters and nickels.
There are a total of 50 coins.
When he added it all up he had $10.50.
How many nickels did he have?
:
let n = no. of nickels
there are 50 coins, therefore
(50-n) = no. of quarters
:
.05n + .25(50-n) = 10.50
.05n + 12.5 - .25n = 10.50
.05n - .25n = 10.50 - 12.50
-.20n = -2
n = -2/-.2
n = 10 nickels
:
:
Check this (50-10 = 40 quarters)
.05 * 10 = 0.50
.25 * 40 = 10.00
-----------------
totals to: 10.50