Question

milk and cream are mixed together for a recipe. the total volume of the mixture is 1 cup. if the milk contains 2% fat, the cream contains 18% fat, and the mixture contains 6% fat, how much cream is in the mixture?

Answer 1

answer is 1/4 cup

Explanation:

Answer 2

Amount of cream in cups
`=(1)/(4)`

Explanation:

Let x be the amount of cream in cups.

Amount of milk = 1 - x cups.

The milk contains 2% fat and cream contains 18% fat.

The mixture contains 6% fat, so we have

`1 * (6)/(100)=x * (18)/(100)+(1-x) * (2)/(100)\\\\6=18x+2-2x\\\\16x=4\\\\x=(1)/(4)`

Amount of cream in cups
`=(1)/(4)`