Question 515025
Let {{{m}}} = the distance in miles each traveled
Let {{{ C }}} = cost for each
Jesse's equation:
{{{ C = 75 + 2m }}}
Alex's equation:
{{{ C = 80 + 1.5m }}}
Since the each had the same cost,
{{{ 75 + 2m = 80 + 1.5m }}}
{{{ .5m = 80 - 75 }}}
{{{ .5m = 5 }}}
{{{ m = 10 }}}
Each traveled 10 miles
check answer:
{{{ C = 75 + 2*10 }}}
{{{ C = 95 }}}
and
{{{ C = 80 + 1.5*10 }}}
{{{ C = 80 + 15 }}}
{{{ C = 95 }}}
OK