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? StartFraction 1 Over 5 EndFraction cup. cup StartFraction 1 Over 4 EndFraction cup. cup StartFraction 3 Over 4 EndFraction cup. cup StartFraction 4 Over 5 EndFraction cup. cup

Answer 1

Answer: 1/4

Explanation:

Let the volume of mixture (6%fat) in cup is 100cc

x cc be the volume of cream (18% fat) in the mixture.

∴

(100−x) cc be the volume of milk (2% fat) in the mixture.

x * 0.18+(100−x) * 0.02=100

⋅0.06 or 0.18x − 0.02x = 6−2 or 0.16x

= 4 or x=25 cc = 25%

Answer 2

0.25 cup (1/4 cup) of cream in the mixture.

Explanation:

x ⋅ 0.18 + ( 100 − x ) ⋅ 0.02 = 100 ⋅ 0.06 or 0.18 x − 0.02 x = 6 − 2 or 0.16 x = 4 or x =

25% or 1/4 cup

Hope that was helpful.Thank you!!!