Question 502167
Let {{{ m }}} = pounds of macadamia nuts she needs
In words:
( total cost of nuts) / ( pounds of nuts ) = cost per pound
given:
{{{ ( 9x + 5*50 ) / ( x + 50 ) = 6.5 }}}
{{{ 9x + 250 = 6.5*( x + 50 ) }}}
{{{ 9x + 250 = 6.5x + 325 }}}
{{{ 2.5x = 75 }}}
{{{ x = 30 }}}
30 pounds of macadamia nuts are needed
check:
{{{ ( 9x + 5*50 ) / ( x + 50 ) = 6.5 }}}
{{{ ( 9*30 + 5*50 ) / ( 30 + 50 ) = 6.5 }}}
{{{ ( 270 + 250 ) / 80 = 6.5 }}}
{{{ 520/80 = 6.5 }}}
{{{ 520 = 520 }}}
OK