Find how many quarts of
6%
butterfat milk and
2%
butterfat milk should be mixed to yield
60
quarts of
4%
butterfat milk.

Question

Find how many quarts of 
6% 
butterfat milk and 
2% 
butterfat milk should be mixed to yield 
60 
quarts of 
4% 
butterfat milk.

anonymous · Answer

@mathstudent55

xapproachesinfinity · Answer

where is the rest of the problem?

anonymous · Answer

The mixture should contain _ quarts of the 6 percent butterfat milk

aum · Answer

Assume "x" quarts of 6% butterfat milk and (60-x) quarts of 2% butterfat milk are mixed to yield 60 quarts of 4% butterfat milk.
The fat content in "x" quarts of 6% butterfat milk = x * 6/100 = 0.06x
The fat content in (60-x) quarts of 2% butterfat milk = (60-x) * 2/100 = 0.02(60-x)
Total fat content = 0.06x + 0.02(60-x) = 0.06x + 1.2 - 0.02x = 0.04x + 1.2
The fat content in 60 quarts of 4% butterfat milk = 60 * 4/100 = 2.4

Therefore, 0.04x + 1.2 = 2.4
solve for x.