Question 985912
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Let &nbsp;<B>n</B>&nbsp; be the number of nickels Jorge has. 

Then the number of dimes is &nbsp;50-n.


So, &nbsp;Jorge has &nbsp;5*n&nbsp; cents in nickels and &nbsp;10*(50-n)&nbsp; cents in dimes.


In total, &nbsp;it is $4.15, &nbsp;which gives you an equation


5*n + 10*(50-n) = 415.


Solve it step by step:


5n + 500 - 10n = 415,


5n - 10n = 415 - 500,


-5n = -85, 


n = {{{(-85)/(-5)}}} = {{{85/5}}} = 17.


Thus Jorge has &nbsp;17 nickels and &nbsp;50-17 = 33 dimes. 


<U>Check</U>: &nbsp;17*5 + 33*10 = 85 + 330 = 415. &nbsp;&nbsp;&nbsp;&nbsp;<U>Correct</U>!