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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?

Respuesta :

Answer:

answer is 1/4 cup

Step-by-step explanation:

Blacklash

Answer:

Amount of cream in cups [tex]=\frac{1}{4}[/tex]

Step-by-step 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

         [tex]1 \times \frac{6}{100}=x \times \frac{18}{100}+(1-x) \times \frac{2}{100}\\\\6=18x+2-2x\\\\16x=4\\\\x=\frac{1}{4}[/tex]

Amount of cream in cups [tex]=\frac{1}{4}[/tex]