Question 323119
{{{d}}} = number of dimes
{{{q}}} = number of quarters
given:
{{{d + q = 27}}}
{{{d = q - 17}}}
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By substitution:
{{{q - 17 + q = 27}}}
{{{2q = 44}}}
{{{q = 22}}}
and, since
{{{d + q = 27}}}
{{{d = 27 - 22}}}
{{{d = 5}}}
She has 5 dimes and 22 quarters