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Harold works at a resort from the beginning of March to the

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Harold works at a resort from the beginning of March to the end of September. During the month of August this past year, he made 3 times the average (arithmetic mean) of his monthly totals in tips for the other months. His total tips for August were what fraction of his total tips for all of the months he worked?

A. 1/3
B. 2/5
C. 3/7
D. 1/2
E. 4/7
[Reveal] Spoiler: OA

Last edited by Bunuel on 13 Dec 2012, 01:27, edited 1 time in total.
Renamed the topic and edited the question.
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Re: Harold works at a resort from the beginning [#permalink]

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Archit143 wrote:
Harold works at a resort from the beginning of March to the end of September. During the month of August this past year, he made 3 times the average (arithmetic mean) of his monthly totals in tips for the other months. His total tips for August were what fraction of his total tips for all of the months he worked?
1/3
2/5
3/7
1/2
4/7


First notice the number of months for which he worked - March to Sept i.e. 7 months

Avg of monthly totals in tips for months other than August = x
Tips in August = 3x

Total tips for all months = 6*x + 3x = 9x

Tips for August/Total tips for all months = 3x/9x = 1/3
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Re: Harold works at a resort from the beginning of March to the [#permalink]

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New post 24 May 2014, 18:53
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Re: Harold works at a resort from the beginning of March to the [#permalink]

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New post 25 May 2014, 03:34
I used almost the same approach as Karishma:

The trap: 7 months in total, but you need to exclude August from the calculation

Thus, August = 3 x Average of the remaining 6 months = 1/6 x 3 = 3/6 = 1/3 reduced

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Re: Harold works at a resort from the beginning of March to the [#permalink]

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New post 20 Jan 2016, 11:39
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Hi All,

This question can be solved by TESTing VALUES and some basic note-taking.

We're told that Harold works at a resort from the beginning of March to the end of September and that during the month of August he made 3 times the average (arithmetic mean) of his monthly totals in tips for the OTHER months. We're asked for the fraction of his TOTAL tips that his August tips represented.

Let's TEST $1 per month for all of the months EXCEPT August. That means he made (3)($1) = $3 in August:

March: $1
April: $1
May: $1
June: $1
July: $1
August: $3
September: $1

Total = $9

August/Total = $3/$9 = 1/3

Final Answer:
[Reveal] Spoiler:
A


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Re: Harold works at a resort from the beginning of March to the   [#permalink] 20 Jan 2016, 11:39
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