Question 891498
{{{ .6*1000 = 600 }}} liters of alcohol in 60% solution
Let {{{ x }}} = liters of alcohol to be extracted
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{{{ ( 600 - x ) / ( 1000 - x ) = .45 }}}
{{{ 600 - x = .45*( 1000 - x ) }}}
{{{ 600 - x = 450 - .45x }}}
{{{ .55x = 150 }}}
{{{ x = 272.73 }}}
272.73 liters of alcohol must be extracted
check:
{{{ ( 600 - x ) / ( 1000 - x ) = .45 }}}
{{{ ( 600 - 272.73 ) / ( 1000 - 272.73 ) = .45 }}}
{{{ 327.27 / 727.27 = .45 }}}
{{{ 327.27 = .45*727.27 }}}
{{{ 327.27 = 327.27 }}}
OK