Question 948752
Make variables and translate the description and question into symbols.


n, how many nickels;
q, how many quarters;


system of equations:
{{{system(q-n=15,0.05n+0.25q=5.85)}}}



--

Multiply the left and right members of the money count equation by {{{1/0.05}}} to simplify that equation.  
This means,  {{{(0.05n+0.25q)/(0.05)=5.85/(0.05)}}}.


-

You should be able to simplify and adjust the system of equations to
{{{system(n+5q=117,-n+q=15)}}},
perfectly ready to start at use of Elimination Method.


Choose either substitution for solving the two equations, or if you know how, elimination for solving the two equations.


--
RESULTS:   q=22 and n=7.