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

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Manager
Joined: 13 May 2017
Posts: 117
Location: Finland
Concentration: Accounting, Entrepreneurship
GMAT 1: 530 Q42 V22
GMAT 2: 570 Q36 V31
GMAT 3: 600 Q42 V28
GPA: 3.14
WE: Account Management (Entertainment and Sports)
Re: On Monday, a person mailed 8 packages weighing an average  [#permalink]

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05 Dec 2019, 09:10
letsamf wrote:
I know this question without this fraction and I’m complete lost WHERE this fraction come frommm?
On Monday, a person mailed 8 packages weighing an average (arithmetic mean) of pounds, and on Tuesday, 4 packages weighing an average of pounds. What was the average weight, in pounds, of all the packages the person mailed on both days?

(A) 13 1/3

(B) 13 13/16

(C) 15 1/2

(D) 15 15/16

(E) 16 1/2

I could find the result of entire number but I still don’t get where this fraction come from!
I have to use the weighted average calculation right?

Posted from my mobile device

Hey,

You need to know the common fractions in and out. Haven’t found the original post but pls see attached a picture from my notes. A lot of question will translate easy when you know the fractions and their decimal equivalent and reversely as well.
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4D1A0A49-DC08-4EFE-8ABD-AA1797E92D1F.jpeg [ 2.45 MiB | Viewed 3365 times ]

Sloan MIT School Moderator
Joined: 07 Mar 2019
Posts: 1346
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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