SOLUTION: 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

Question 922933: 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
systems of equations shown below.
x + y = 9
0.02x + 0.04y = 0.24
Which 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.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
We need a total of 9 qts
We want to know how many qts at 2% to mix with 4%
a+b=9,
0.02*a+0.04*b=.24
a=9-b
0.02*(9-b)+0.04*b=0.24
0.18-0.02b+0.04*b=0.24
0.02*b=0.06
b=3.0
a=9-b
a=6.0 qt at 2%
b=3.0 qt at 4%
check
0.02*6.0+0.04*3.0=.24
0.12+0.12=0.24
0.24=0.24
ok
A. Nathan used twice as much 2% milk as 4% milk.
codemx1

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