Question 802588
Let {{{ c }}} = pounds of caramel needed
{{{ 2.3c }}} = cost of the caramel used
{{{ .8*6 = 4.8 }}} = cost of the popcorn used
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{{{ ( 4.8 + 2.3c ) / ( 6 + c ) = 1.4 }}}
{{{ 4.8 + 2.3c = 1.4*( 6 + c ) }}}
{{{ 4.8 + 2.3c = 8.4 + 1.4c }}}
{{{ .9c = 3.6 }}}
{{{ c = 4 }}}
4  pounds of caramel is needed
check:
{{{ ( 4.8 + 2.3c ) / ( 6 + c ) = 1.4 }}}
{{{ ( 4.8 + 2.3*4 ) / ( 6 + 4 ) = 1.4 }}}
{{{ ( 4.8 + 9.2 ) / 10 = 1.4 }}}
{{{ 14 = 1.4*10 }}}
{{{ 14 = 14 }}}
OK