Temperature average problem

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madsport: Senior | Next Rank: 100 Posts; Posts: 46; Joined: Mon Aug 25, 2008 9:06 am; Thanked: 1 times

by madsport » Mon Sep 15, 2008 9:39 am

If the average (arithmetic 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

The answer is B

How do you solve this problem?

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Source: Beat The GMAT — Problem Solving | Mon Sep 15, 2008 9:39 am

Sunny22uk: Master | Next Rank: 500 Posts; Posts: 144; Joined: Thu Apr 17, 2008 3:33 pm; Thanked: 8 times

Re: Temperature average problem

by Sunny22uk » Mon Sep 15, 2008 9:55 am

madsport wrote:If the average (arithmetic 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

The answer is B

How do you solve this problem?

Average=sum/total numbers
sum=5x
Sum of 3 greatest of these temperatures<5x
4x is the greatest option among B, C, D ,E

You cannot discover new oceans unless you have the courage to loose sight of the shore.

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alescau: Junior | Next Rank: 30 Posts; Posts: 17; Joined: Sun Sep 14, 2008 1:19 pm; Thanked: 4 times

by alescau » Mon Sep 15, 2008 10:44 am

3 largest ones added together should be more than 3x.
(A) 5x=6x+?? Wrong
(B) 5x=4x+?? We can solve this.
Ans.B

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