Answer:
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 = [tex]\frac{0.12}{0.16}=\frac{3}{4}[/tex]
Amount of milk in the mixture = [tex]\frac{3}{4}[/tex] cup
and amount of cream in the mixture = 1 - [tex]\frac{3}{4}[/tex]
= [tex]\frac{1}{4}[/tex] cup
Option B is the answer.
