Bunuel
A sample of x litres from a container having a 60 litre mixture of milk and water containing milk and water in the ratio of 2 : 3 is replaced with pure milk so that the container will have milk and water in equal proportions. What is the value of x?
A. 6 litres
B. 10 litres
C. 15 litres
D. 20 litres
E. 30 litres
A great weighted average method above by
VeritasKarishma..
But let me give you another method..
M:W=2:3 means M = \(\frac{2}{5}\) and W=\(\frac{3}{5}\)
Total 60 liters means M = \(\frac{2}{5}*60=24\) and W=\(\frac{3}{5}*60=36\)
To be equal both should be 30 each, so a decrease of 6 liters of water from initial 36 liters...
Now if reduction of 1 liter would mean reduction of \(\frac{3}{5}\) of water, reduction of x liter would mean \(\frac{3}{5}*x\), but this should be equal to 6..
thus \(\frac{3}{5}*x=6.....x=\frac{5}{3}*6=10\)
B