Alcohol solutions

We have to produce 2 liters of 60% alcohol from 55% and 80%. How many of which ones will we use in the solution?

Correct answer:

a =  1.6 l
b =  0.4 l

Step-by-step explanation:

V=2 l  a+b=V 0.55a+0.80b=0.60 V a+b=2 0.55a+0.80b=0.60 2  a+b=2 0.55 a+0.80 b=0.60 2  a+b=2 0.55a+0.8b=1.2  a=58=1.6=1.6 l b=52=0.4

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