Question 1168637
.
You only have nickels and dimes. There are 34 coins and its worth
$2.80. How many of each do you have?
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<pre>
N     nickels

34-N  dimes


The total money equation is

    5N + 10*(34-N) = 280  cents.


From the equation

    N = {{{(280-10*34)/(5-10)}}} = 12.


<U>ANSWER</U>.  12 nickels and 34-12 = 22 dimes.


<U>CHECK</U>.   12*5 + 22*10 = 280 cents.   ! Precisely correct !
</pre>

Solved.