Concentration 3097

How many liters of 60% and 80% formic acid do we have to mix to get 80 liters of this acid with a concentration of 65%?

Correct answer:

a =  60
b =  20

Step-by-step explanation:


0.60a+0.80b = 0.65·80
a+b = 80

0.60·a+0.80·b = 0.65·80
a+b = 80

0.6a+0.8b = 52
a+b = 80

Pivot: Row 1 ↔ Row 2
a+b = 80
0.6a+0.8b = 52

Row 2 - 0.6 · Row 1 → Row 2
a+b = 80
0.2b = 4


b = 4/0.2 = 20
a = 80-b = 80-20 = 60

a = 60
b = 20

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