How many liters of pure alcohol must be added to 20 liters of a 40% solution to obtain a 60% solution?

opatovaL

opatovaL

Answered question

2021-03-11

How many liters of pure alcohol must be added to 20 liters of a 40% solution to obtain a 60% solution?

Answer & Explanation

pivonie8

pivonie8

Skilled2021-03-12Added 91 answers

Let x represent the volume in liters of pure alcohol that will be added.
In terms of alcohol percentage, 40% alcohol plus 100% alcohol equals 60% alcohol.
0.40(20)+1(x)=0.60(20+x) 
8+x=12+0.60x 
x=4+0.60x 
0.40x=4 
x=40.40 
x=10 liters.

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