Problema Solution

a chemist needs 12 liters of a 40% alcohol solution. She must mix a 20% solution and a 50% solution. How many liters of each will be required to obtain what she needs?

Answer provided by our tutors

let


x = liters of the 20% solution

y = liters of the 50% solution


a chemist needs 12 liters of a 40% alcohol solution


x + y = 12


0.20x + 0.50y = 0.40*12


by solving the system of equations we find


x = 4 liters


y = 8 liters


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the mix requires 4 liters of the 20% solution and 8 liters of the 50% solution.