Question 125405
Let {{{d}}} = number of dimes
Let {{{q}}} = number of quarters
{{{d + q = 56}}}
{{{10d + 25q = 800}}}
{{{d = 56 - q}}}
{{{10(56 - q) + 25q = 800}}}
{{{560 - 10q + 25q = 800}}}
{{{15q = 800 - 560}}}
{{{15q = 240}}}
{{{q = 16}}}
{{{d = 56 - q}}}
{{{d = 56 - 16}}}
{{{d = 40}}}
There are 16 quarters and 40 dimes
check answer
{{{10d + 25q = 800}}}
{{{10*40 + 25*16 = 800}}}
{{{400 + 400+ 800}}}
{{{800 = 800}}}
OK