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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

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

Lets use the POE here,

x is the average of 5 numbers and hence total = 5x

A) 6x -- greater than 5x hence invalid option B) 4x -- Correct C) 5x/3 -- is this is the case then rest 2 values are also equal to these values and hence this cannot be the sum of the 3 greater temp. D) 3x/2 -- 1.5x which cant be the sum of 3 greater temp. E) 3x/5 -- same as D

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

Let the 5 numbers be 1,2,3,4,5 (since no restrictions are given). There mean is 3 (x).

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

POE only can be used in this question. Other option than B are mathmatically not possible.

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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