loki wrote:

Here is a question that I cannot figure out

If the Average (mean ) of 5 positive temperatures is x degrees fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be

A) 6x

B) 4x

C) 5x/3

D) 3x/2

E) 3x/5

Please provide solutions along with your answer choice. Thank you

OA: B

Sum of all five numbers is 5x so sum of 3 greatest numbers must be greater than half of the full sum i.e. >2.5x

definitely A is impossible.

B could be a possibility as it is >2.5x

c is actually 1.67x so not possible.

D is actually 1.5x so not possible.

E is 0.6x definitely not possible

Thats why only option left is B and hence it is the answer.

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My debrief: done-and-dusted-730-q49-v40