Question

How much cream that is 30% butterfat must be mixed with milk that is 3% butterfat to make 45 gal of cream that is 12% butterfat?

Answer 1

15 gallons

Explanation:

If x is the gallons of 30% butterfat cream, and y is the gallons of 3% butterfat milk, then:

x + y = 45

0.30 x + 0.03 y = 0.12 (45)

Solve the system of equations with substitution or elimination. Using substitution:

0.30 x + 0.03 (45 − x) = 0.12 (45)

0.30 x + 1.35 − 0.03 x = 5.4

0.27 x = 4.05

x = 15

You need 15 gallons of 30% butterfat cream.

Answer 2

Question:

Casper has some whipping cream that is 18% butterfat and some milk that is 4% butterfat. He wants to make a 500ML of them that is 12% butterfat.

What does point M represent in this context?

Answer:

Choose 1 answer:

CORRECT (SELECTED)

The mixture has the intended volume and has more than the intended percent of butterfat.

Explanation: Point M is on line b, so it represents a scenario where the mixture has a volume of exactly 500 \,\text{mL}500mL500, start text, m, L, end text. Also, point MMM is above line aaa, so it represents a scenario where the mixture has more than 12\%12%12, percent butterfat.