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# On Monday, a person mailed 8 packages weighing an average

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SVP
Joined: 23 Feb 2015
Posts: 1946
Re: On Monday, a person mailed 8 packages weighing an average  [#permalink]

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03 May 2020, 22:39
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Quote:
On Monday, a person mailed 8 packages weighing an average (arithmetic mean) of $$12\frac{3}{8}$$ pounds, and on Tuesday, 4 packages weighing an average of $$15\frac{1}{4}$$ pounds. What was the average weight, in pounds, of all the packages the person mailed on both days?

(A) $$13\frac{1}{3}$$

(B) $$13\frac{13}{16}$$

(C) $$15\frac{1}{2}$$

(D) $$15\frac{15}{16}$$

(E) $$16\frac{1}{2}$$

We're going to make weighted average of $$12\frac{3}{8}$$ (with 8 packages) and $$15\frac{1}{4}$$ (4 packages). So, the correct answer must be between these two numbers. Choice C,D, and E are beyond of these two numbers, so they are out.
We're going to make the weighted average, but choice B is simply the ''regular'' average ($$12\frac{3}{8}$$ + $$15\frac{1}{4}$$)/2= $$13\frac{13}{16}$$, which indicates choice B. So, B is out. Correct choice is A.
Hope it helps.
Sloan MIT School Moderator
Joined: 07 Mar 2019
Posts: 1298
Location: India
GMAT 1: 580 Q43 V27
WE: Sales (Energy and Utilities)
Re: On Monday, a person mailed 8 packages weighing an average  [#permalink]

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28 May 2020, 09:41
Quote:
On Monday, a person mailed 8 packages weighing an average (arithmetic mean) of $$12\frac{3}{8}$$ pounds, and on Tuesday, 4 packages weighing an average of $$15\frac{1}{4}$$ pounds. What was the average weight, in pounds, of all the packages the person mailed on both days?

(A) $$13\frac{1}{3}$$

(B) $$13\frac{13}{16}$$

(C) $$15\frac{1}{2}$$

(D) $$15\frac{15}{16}$$

(E) $$16\frac{1}{2}$$

It's a weighted average question. So, the weight must be between $$12\frac{3}{8}$$ and $$15\frac{1}{4}$$ i.e. 99/8 and 122/8. It would be towards 99/8 as 8 packages are sent with that weight.

Only A and B are contenders and rest are eliminated.
As B is normal average of the two, A is the answer.

Bunuel There's Economist GMAT Tutor in this question. Can you please check.
_________________
Re: On Monday, a person mailed 8 packages weighing an average   [#permalink] 28 May 2020, 09:41

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