How do you find how many quarts of 4% butterfat milk and 1% butterfat milk should be mixed to yield 60 quarts of 2% butterfat milk?

1 Answer
Jun 18, 2018

Answer:

#color(blue)20# quarts of #4%# and #color(blue)40# quarts of #1%# will give #60# quarts of #2%#

Explanation:

Let #x# be the number of quarts of #4%# required.
This implies the number of quarts of #1%# required will be #60-x#

The total butter fact will be
#color(white)("XXX")4/100 * x +1/100 * (60-x)=2/100 * 60#

#color(white)("XXX")rarr 4x+60-x= 2 *60#

#color(white)("XXX")rarr 3x+60=120#

#color(white)("XXX")3x=60#

#color(white)("XXX")x=20#

So #20# quarts of #4%# are needed plus #(60-20)=40# quarts of #1%#