Beer tapping

When checking compliance with the beer tapping, it was found that 60% of the offered beers were underfilled. The others were fine. Thus, instead of 0.5 l, the volume was 4.4 dcl on average. What was the volume of one average underfilled beer?

Correct result:

x =  0.4 l

Solution:

 0.44=(60 x+40 0.5)/(60+40)  0.6x=0.24  x=25=0.4=25=0.4 l \ \\ 0.44=(60 \cdot \ x + 40 \cdot \ 0.5)/(60+40) \ \\ \ \\ 0.6x=0.24 \ \\ \ \\ x=\dfrac{ 2 }{ 5 }=0.4=\dfrac{ 2 }{ 5 }=0.4 \ \text{l}



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