Question

Panchito needs to make 80 ml of a 39% alcohol solution. He is going to make it by mixing a 50% alcohol solution with a 6% alcohol solution. How much if each should he use?​

Answer 1

60ml of the 50% alcohol solution and 20ml of the 6% alcohol solution

Explanation:

We can build a system of equation for solve this problem

x = first solution

y = second solution

x + y = 80

0.5x + 0.06y = 80 * 0.39

x + y = 80

0.5x + 0.06y = 31.2

x = 80 -y

0.5(80-y) + 0.06y = 31.2

40 - 0.5y + 0.06y = 31.2

-0.44y = -8.8

y = 20

x = 80 - 20 = 60