Question

Casper has some whipping cream that is 18%, percent butterfat, and some milk that is %4, percent butterfat. He wants to make a 500 ML mixture of them that is 12%, percent butterfat.
What does point M represent in this context?

Choose 1 answer:

(Choice A, Checked, Correct)
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 ML. Also, point M is above line a, so it represents a scenario where the mixture has more than 12%, percent butterfat.

Answer 1

L represent Option A. The correct answer is that the mixture has the intended volume and has more than the intended percent of butterfat.

What is the  graph about?

Note that:

The graph shows that the point L is one that is below the blue line of the graph.

Therefore, x + y = 500

Also one need to see that:

0.18x + 0.04y = 500(0.12)

Since that cream is 18% butterfat, milk is 4% butterfat, so L is composed of of 350 ml of cream and 100 ml of milk.

Hence the total amount of butterfat for L is:

0.18 x 350 + 0.04 x 100

= 67ml.

Next, one has to calculate 12% of the volume of L :

12% of 450:

0.12 x 450 =  54ml

So, because 67 is bigger than 54, this implies that the volume of butter fat in L is more than 12 %.

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