Sum of temperatures=5x
Sum of 3 greatest > Sum of the remaining temp.
A) Not possible as 6x>5x
B) 4x Could be possible
C) 5x/3 => 5x-5x/3 = 10x/3 > 5x/3 ----It means 5x/3 is not the sum of 3 greatest temperature.
D) 3x/2 => 5x-3x/2 = 7x/2> 3x/2 -----Same reason as above not possible
So Maximum sum possible for sum of 3 greatest of these temperatures could be 4x-----ANS(B)
Let the first solution be 400mL i.e. 300 alcohol & 100 ml water
Let the Second solution be 100mL i.e. 40 Alcohol & 60 ml water
Combining both
340/500 = 34/50=17/25-----ANS
Zuckerman,
I concur with you. I only used it to establish that x-y=1/2 where 1/2 is a positive number it means x > y but when if y 1. So, both x & y has to be positive to satisfy both the conditions.
It is always better to keep the fractional nature of ratios intact.
Regards
Manish