Heavy cream is 36% butterfat while whole milk contains only 4% butterfat. in order to make a delicious pint of ice cream, a recipe calls for 2 cups of a mixture that is 24% butterfat. how many cups of heavy cream should be used to produce the correct butterfat percentage?

cups of heavy cream.

Step-by-step explanation:

Let x represent cups of heavy cream and y represent cups of whole milk.

We have been given that a recipe calls for 2 cups of a mixture. We can represent this information in an equation as:

We are also told that heavy cream is 36% butterfat, so butterfat in x cups of heavy cream would be .

We are also told that whole milk contains only 4% butterfat, so butterfat in y cups of whole milk would be .

The recipe calls for 2 cups of a mixture that is 24% butterfat. We can represent this information in an equation as:

From equation (1), we will get:

Upon substituting this value in equation (2), we will get:

Combine like terms:

Therefore, cups of heavy cream should be used to produce the correct butterfat percentage.

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10