Bunuel
What is the ratio of the average (arithmetic mean) weight of students in class A to the average weight of students in class B?
(1) The average weight of the students in class A is 60 kilograms.
(2) The average weight of the students in class A and class B combined is 80 kilograms
Analyzing the question:When a question mentions average, it is important to visualize the total at first and see if it helps.
Combined:We can have one person in A who weighs 60kg, and one person in B who weighs 100 kg. We can also have one person in A who weighs 60 kg, and two people who weigh 90 kg from B. Then we would have different ratios of weight in class A vs class B. Insufficient.
Ans: E
Note on how to come up with these numbers:
The average is fixed at 80. We used one weight of 60 which is -20 compared to the average. Then we need the rest of the weights to have a combined +20 compared to the average to make up for the low weight. Thus we have average+20 if only one weight above 80 and average+10 twice if we have two weights above 80.