Question 858947
q for quarters and d for dimes.


{{{q+d=12}}} and {{{0.25q+0.1d=1.95}}}; and this second equation could use some simplifying.


{{{25q+10d=195}}}
{{{5q+2d=39}}}



Work with the system as:
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q+d=12
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5q+2d=39
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Without giving explanation:
{{{5q+2d-(2q+2d)=39-24}}
{{{3q=15}}}
{{{highlight(q=5)}}}, and you find d.