Problema Solution
how many quarts of 5% milk and how many quarts of 2% milk are needed to yield 30 quarts of 3% milk?
Answer provided by our tutors
let
x = quarts of 5% milk
y = quarts of 2% milk
we mix them together to get 30 quarts of 3% milk
x + y = 30
the milk from x (in quarts) + the milk from y (in quarts) = the milk from the mix (in quarts)
0.05x + 0.02y = 0.03*30
by solving the system of equations
x + y = 30
0.05x + 0.02y = 0.03*30
we find
x = 10 quarts
y = 20 quarts
we need 10 quarts of 5% milk and 20 quarts of 2% milk.