Question

Stacy wishes to reduce the milk fat content of 5 pints of cream which is 15% fat by combining it with 7 pints of milk which is only 3% fat. What is the percentage of fat in the mixture?

Answer 1

Answer:

The percentage of fat in the mixture is 8%

Step-by-step explanation:

Let

x -----> the percentage of fat in the mixture

we know that

The volume of milk multiplied by its percentage of fat plus the volume of cream multiplied by its percentage of fat must be equal to the total volume of he mixture multiplied by the percentage of fat in the mixture

Remember that

15%=15/100=0.15

3%=3/100=0.03

so

$5(0.15)+7(0.03)=(5+7)(x)$

Solve for x

$0.75+0.21=12x$

$0.96=12x$

$x=0.08$

Convert to percentage

$0.08*100=8\%$