Question 970162
q, d, quarters and dimes


{{{system(q+d=36,d/q=1/2,0.1d+0.25q=7.2)}}}
and the description and system are overstated.  Any TWO of the equations should be enough for the problem and the next equation needs to be in agreement with the solution found.



Using only the first two equations as a system:


{{{system(q+d=36,d=q/2)}}}


{{{q+q/2=36}}}


{{{2q+q=72}}}


{{{3q=72}}}



{{{highlight(q=24)}}}-----------meaning that must have {{{highlight(d=12)}}}.


That solution MUST satisfy the money count equation.
{{{0.1d+0.25q=7.2}}}
{{{(0.1)(12)+(0.25)24=7.2}}}
{{{1.2+6.0=7.2}}}
{{{7.2=7.2}}}
Ths solution worked.