PROBLEM

Milk that has 5% butter fat is mixed with milk that has 2% butterfat. How much of each is needed to obtain 60 gallons of mild that has 3% butterfat?

 

X+Y=60
Y= -X+60
5X+2Y=180

Solve the second equation for Y.

5X+2(-X+60)+180
5X-2X+120=180
3X+120=180
3x=60
X=20

Substitute the second equation for Y into equation one and solve for X.

(20)+Y=60
Y=40

Substitute the value of X into the revised equation two and solve for Y.

(20,40)

Then you get your points

 

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