Question 1025244: I have 26 coins in my pocket, all nickels and dimes. Altogether, I have $2.25. How many of each type of coin do I have? Answer by ikleyn(52817) (Show Source):
You can put this solution on YOUR website! .
I have 26 coins in my pocket, all nickels and dimes. Altogether, I have $2.25. How many of each type of coin do I have?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Answer. 7 nickels and 19 dimes.
Solution
Let n be the number of nickels, the the number of dimes is 26-n.
The "value" equation is
5n + 10*(26-n) = 225.
Simplify and solve it:
5n + 260 - 10n = 225.
5n = 260 - 225,
5n = 35,
n = = 7.
There are 7 nickels and 26-7 = 19 dimes.
