Question

Otto has some whipping cream that is 30 percent butterfat and some milk that is 2 percent butterfat. He wants to make a 500mL mixture of them that is 12 percent butterfat.

Here's a graph that shows a system of equations for this scenario where x is the volume of whipping cream he uses and y is the volume of milk he uses.

A graph with two lines and a point. Line A is labeled 0.30 times x plus 0.02 times y equals 0.12 times 500. Line B is labeled x plus y equals 500. Point K is on the intersection of lines A and B.

What does point K represent in this context?

Answer 1

The mixture has more than the expected volume and has the optimal butterfat percentage.

• As per the question, Otto wants to make a mixture of 12% butter fat.
• The milk has 2% butter fat, and the whipping cream has 30% butter fat, which means that the milk has the lowest butter fat, which is far less than the whipping creams.
• This means that Otto needs to use more milk than cream, only that way he will reach the 12% mixture.
• This is when point J will be met, using that data from point J, Otto will be using a lot more milk than the cream, that is required to achieve the mixture he desires.

Answer 2

Answer:

78

Step-by-step explanation:

53