Problema Solution
One canned juice drink is 15% orange juice; another is 5% orange juice. How many liters of each should be mixed together in order to get 10L that is 8% orange juice?
Answer provided by our tutors
let
x = the liters of 15% orange juice;
y = the liters of 5% orange juice;
the mix of the two juices is 10 l that is
x + y = 10
15% of the x juice + 5% of the y juice = 8% of the 10l
0.15*x + 0.05*y = 0.08*10
by solving the system of equations
x + y = 10
0.15*x + 0.05*y = 0.08*10
we find
x = 3 l
y = 7 l
We should mix 3 liters of the 15% orange juice and 7 liters of the 5% orange juice to get 10 liters of the 8% orange juice.