Question 467601
I can give you formulas and solutions to construct
table with.
In words:
( liters of butterfat you end up with ) / ( total liters of whole milk ) = 2%
Let {{{ x }}} = liters of 1% milk that must be added
given:
{{{ .01x }}} = liters of butterfat in 1% milk
{{{ .04*12 = .48 }}} = liters of butterfat in 4% milk
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{{{ ( .48 + .01x ) / ( 12 + x ) = .02 }}}
Multiply both sides by {{{ 12 + x }}}
{{{ .48 + .01x = .02*(12 + x ) }}}
{{{ .48 + .01x = .24 + .02x }}}
{{{ .01x = .48 - .24 }}}
{{{ .01x = .24 }}}
{{{ x = 24 }}}
24 liters of 1% milk must be added
check answer:
{{{ ( .48 + .01x ) / ( 12 + x ) = .02 }}}
{{{ ( .48 + .01*24 ) / ( 12 + 24 ) = .02 }}}
{{{ ( .48 + .24 ) / 36 = .02 }}}
{{{ .72 = .02*36 }}}
{{{ .72 = .72 }}}
OK