Question 667056
The butterfat in {{{ 1000 }}} quarts is
{{{ .04*1000 = 40 }}} quarts
Let {{{ x }}} = quarts of 23% butterfat to be removed
{{{ .23x }}} = quarts of butterfat removed
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{{{ ( 40 - .23x ) / ( 1000 - x ) = .03 }}}
{{{ 40 - .23x = .03*( 1000 - x ) }}}
{{{ 40 - .23x = 30 - .03x }}}
{{{ .23x - .03x = 40 - 30 }}}
{{{ .2x = 10 }}}
{{{ x = 50 }}}
50 quarts of 23% butterfat cream must be removed
check:
{{{ ( 40 - .23x ) / ( 1000 - x ) = .03 }}}
{{{ ( 40 - .23*50 ) / ( 1000 - 50 ) = .03 }}}
{{{ ( 40 - 11.5 ) / 950 = .03 }}}
{{{ 28.5 = .03*950 }}}
{{{ 28.5 = 28.5 }}}
OK