Question

Nathan mixed x quarts of milk containing 2% fat with y quarts of milk containing 4% fat. The total amount of the mixture was 9 quarts, and it contained a total of 0.24 quart of fat. This situation is represented by the system of equations shown below.
x + y = 9
0.02x + 0.04y = 0.24

What statement is true?



A)Nathan used twice as much 2% milk as 4% milk.


B)Nathan used twice as much 4% milk as 2% milk.


C)Nathan used 2 quarts more 2% milk than 4% milk.


D)Nathan used 2 quarts more 4% milk than 2% milk.

I am just checking to make sure that I'm correct.For this I chose answer A.Thanks for the help in advance.

Answer 1

X + y = 9 .....x = 9 - y
0.02x + 0.04y = 0.24

0.02(9 - y) + 0.04y = 0.24
0.18 - 0.02y + 0.04y = 0.24
-0.02y + 0.04y = 0.24 - 0.18
0.02y = 0.06
y = 0.06 / 0.02
y = 3......4% milk

x + y = 9
x + 3 = 9
x = 9 - 3
x = 6 ....2% milk

Nathan used twice as much 2% milk as 4% milk....u r correct