. How much lowfat milk ( 1% fat) and how much whole milk ( 4% fat) should be mixed in order to make 8 gallons of reduced fat milk ( 2% fat)?

Answer 1

X + 4Y = 2(8) = 16

X + 4(8-X) = 16

X -4X + 32 = 16

3X = 16

X = 5 1/3 gallons of 1% mixed with 2 2/3 gallons of 4% whole milk to get 8 gallons of 2%

1 is within 1 of 2

4 is with 2 of 2 or twice as far

you need twice as much 1% as 4%

2 2/3 times 2 = 5 1/3