Question

Sarah has whole milk, which contains 3.25% butterfat by volume, and one type of low-fat milk,

Answer 1

Answer:

D is the answer

Step-by-step explanation:

We want a mixture of low-fat and whole milk to equal 32ounces

Therefore, we know one equation is:

l + w = 32

That 32 ounce mixture should be 2% butter fat

So the amount of butter fat we want is

2% of 32 = 0.64 ounces

At the same time, this mixture contains low-fat and whole milk, which contain 1% and 3.25% butter fat respectively.

therefore, the butter fat in low-fat and whole milk is 0.01l and 0.0325w respectively.

The coefficients are just the percentages in decimal form

Due to the law of conservation of mass,

The addition of these two should yield the final amount of butter fat, meaning the other equation is:

0.01l + 0.0325w = 0.64