Problema Solution

one canned juice drink is 30% orange juice another is 5% orange juice. how many liters of each should be mixed together in order to get 25L that is 21% orange juice. how many liters of 30% and how many liters for 5%

Answer provided by our tutors

let


x = liters of the 30% orange juice

y = liters of the 5% orange juice


x and y mixed give 25 liters of 21% orange juice


x + y =25


0.30*x + 0.05y = 0.21*25


by solving the system of equations


x + y =25

0.30*x + 0.05y = 0.21*25


we find


x = 16 L


y = 9 L


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we should mix 16 L of the 30% orange juice and 9 L of the 5% orange juice to get 25 L of 21% orange juice.