SOLUTION: 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?

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(52847) (Show Source): You can put this solution on YOUR website!
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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?
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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.

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