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? 1/5 cup 1/4 cup 3/4 cup 4/5 cup

Option B is the answer.

Step-by-step explanation:

Let x be the amount of milk in 1 cup of mixture of milk and cream

So fat in milk = 2% of x = 0.02x

Now amount of cream in mixture = ( 1 - x )

and fat in cream = 18% of (1-x)

                           = 0.18(1-x)

We know total for in mixture = 6% or 0.06

so equation for fat in mixture will be

0.02x = 0.18 (1-x) = 0.06

0.02x = 0.18 - 0.18x = 0.06

                    -0.16x = 0.06 - 0.18

                   0.16x = 0.12

                          x =

Amount of milk in the mixture = cup

and amount of cream in the mixture = 1 -

                                                             = cup

Option B is the answer.

step-by-step explanation:

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