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The average (arithmetic mean) high temperature for x days i

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The average (arithmetic mean) high temperature for x days i [#permalink] New post 22 May 2017, 01:40
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The average (arithmetic mean) high temperature for x days is 70 degrees. The addition of one day with a high temperature of 75 degrees increases the average to 71 degrees.

Quantity A
Quantity B
x
5


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: The average (arithmetic mean) high temperature for x days i [#permalink] New post 10 Oct 2017, 07:51
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Reversing the formula for the mean it is easy to see that if the mean of temperatures in x days is 70, the sum of these temperatures is 70x.

Then, statement two can be rewritten in formula as \frac{70x+75}{x+1} = 71, from which we can get that x = 4.

Since 4 < 5, quantity B is larger!
Re: The average (arithmetic mean) high temperature for x days i   [#permalink] 10 Oct 2017, 07:51
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