Question 1166934
{{{system(n+q=32,5n+25q=860)}}}


{{{n+5q=172}}}
{{{and}}}
{{{n+q=32}}}


Subtract one from the other to find q:
{{{4q=140}}}
{{{q=35}}}-------------NO.   NO.
Try differently:
{{{172-5q=32-q}}}
{{{172-32=-q+5q}}}
{{{140=4q}}}-------------NO.


If all the 32 coins were quarters, that would give 0.25*32=8.00 dollars, less than the given amount of money; 


Recheck your problem description.