<PRE><B>Question 961723</B>
n, d, q
{{{5n+10d+25q=630}}}



{{{n+2d+5q=126}}}-------the SIMPLIFIED cents equation



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52 coins total and the machine only accepts nickels, dimes, and quarters. There are five more dimes than nickels.
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{{{system(n+d+q=52,d-n=5)}}}
ADD:  {{{2d+q=57}}}

{{{q=57-2d}}}



REVISE:
{{{system(n+2d+5(57-2d)=126,d-n=5)}}}

{{{system(n+2d+285-10d=126,d-n=5)}}}

{{{system(n-8d=126-285,d-n=5)}}}

{{{system(8d-n=159,d-n=5)}}}

{{{7d=154}}}

{{{highlight(d=22)}}}-------------------{{{highlight(n=17)}}}
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{{{highlight(q=13)}}}</PRE>