Question 1114184
{{{system(n+2d+5q=123,n+d+q=36,n+d=q-2)}}}

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The last two equations allow you to quickly find q.
{{{system((n+d)+q=36,n+d=q-2)}}}


{{{q-2+q=36}}}

{{{2q=38}}}

{{{highlight(q=19)}}}--------19 quarters


Revise to simpler system:
{{{system(n+2d=28,n+d=17)}}}


{{{highlight(d=11)}}}----------11 dimes


{{{highlight(n=6)}}}---------6 nickels