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

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Harold works at a resort from the beginning of March to the end of Sep  [#permalink]

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New post 22 Jul 2010, 21:32
1
2
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A
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E

Difficulty:

  55% (hard)

Question Stats:

58% (01:42) correct 42% (02:14) wrong based on 105 sessions

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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

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

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New post 22 Jul 2010, 22:18
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The time from beginning of March to the end of September is 7 months.
If x is the average monthly tip for all months other than August then his August month tip will be 3*x
His total tip for the 7 months = 6*(average tip for the months other than August) + 3x
=9x

August tips as a fraction of total tips = 3x/9x =1/3. So A
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Re: Harold works at a resort from the beginning of March to the end of Sep  [#permalink]

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New post 07 May 2018, 10:22
aiming4mba 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?

A. 1/3
B. 2/5
C. 3/7
D. 1/2
E. 4/7


Harold works for 7 months.

If we let the average of the 6 months besides August = n, then the sum of the tips of these months is 6n.

Thus, during August he made 3n.

August’s tips, as a fraction of the total tips, is:

(3n)/(3n + 6n)

3n/9n = 1/3

Answer: A
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Re: Harold works at a resort from the beginning of March to the end of Sep &nbs [#permalink] 07 May 2018, 10:22
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Harold works at a resort from the beginning of March to the end of Sep

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