Question 1074563
{{{system(n+d+q=29,0.05n+0.1d+0.25q=4.35,n-d=4)}}}


{{{system(n+d+q=29,n+2d+5q=87,n=d+4)}}}



Substitute for n.
-
{{{2d+q=29-4}}}
{{{2d+q=25}}}
-
{{{d+4+2d+5q=87}}}
{{{3d+5q=83}}}
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Simpler system in just d and q,
{{{system(2d+q=25,3d+5q=83)}}}


Substitute for q;
{{{3d+5(25-2d)=83}}}
{{{3d+125-10d=83}}}
{{{-7d=83-125}}}
{{{7d=125-83}}}
{{{7d=42}}}
{{{highlight(d=6)}}}


-
{{{highlight(n=10)}}}



{{{q=29-16}}}
{{{highlight(q=13)}}}


CHECK
{{{6*0.1+10*0.05+13*0.25}}}
{{{0.6+0.5+3.25}}}
{{{1.1+3.25}}}
{{{4.35}}} yes