Alcohol solutions

We have to produce 2 liters of 60% alcohol from 55% and 80%. How many of these 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  Row2−0.55⋅ Row1→Row2 a+b=2 0.25b=0.1  b=0.250.1​=0.4 a=2−b=2−0.4=1.6=1.6 l  a=58​=1.6 b=52​=0.4

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