Question 1025244
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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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<U>Answer</U>. 7 nickels and 19 dimes.


<U>Solution</U>


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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 = {{{35/7}}} = 7.

There are 7 nickels and 26-7 = 19 dimes.
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