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Last year, a certain public transportation system sold an average

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Last year, a certain public transportation system sold an average [#permalink]

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New post 15 Apr 2008, 17:42
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Last year, a certain public transportation system sold an average (arithmetic mean) of 41,000 tickets per day on weekdays (Monday through Friday) and an average of 18,000 tickets per day on Saturday and Sunday. Which of the following is closest to the total number of tickets sold last year?

(A) 1 million
(B) 1.25 million
(C) 10 million
(D) 12.5 million
(E) 125 million
[Reveal] Spoiler: OA

Last edited by Bunuel on 17 Jul 2015, 09:24, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: Last year, a certain public transportation system sold an average [#permalink]

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New post 15 Apr 2008, 18:26
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With the answer choices provided, I would say it is safe to approximate in this manner...

41,000 x 5 + 18,000 x 2 = 241,000 (approx to 240,000)

52 weeks in a year (approx to 50)

Now, since 50 is much like .50 we have 12,000,000

Knowing that we lessened both values in our approximation, 12.5 million is apparent.

Hope this helps!
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Re: Last year, a certain public transportation system sold an average [#permalink]

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New post 16 Apr 2008, 02:17
I guess 10 mil is the corest answer:

(2/7)*365*18,000+(5/7)*365*41,000=10,6 mil
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Re: Last year, a certain public transportation system sold an average [#permalink]

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New post 16 Apr 2008, 04:01
Brindusa wrote:
I guess 10 mil is the corest answer:

(2/7)*365*18,000+(5/7)*365*41,000=10,6 mil


If you type that into the calculator, it results in 12.6 mil

[D], 12.5 mil, is the correct answer... see 2 posts above for quick approx method
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Re: Tickets [#permalink]

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New post 03 Mar 2011, 07:55
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One year = 52 weeks
1K = 10^3
1M = 10^6
1 week sale = weekend sale + weekday sale = (41K * 5) + (18K * 2) = 205K + 36K = 241K
One year sale = 241K *52 = (241*52)K

241 * 52 = 12.5K (approx)

One year sale = 12.5K * K = 12.5 M

Madelaine88 wrote:
Last year, a certain public transportation system solad an average (arithmetic mean) of 41 000 tickets per day on weekdays (Monday through Friday) and an average of 18 000 tickets per day on Saturday and Sunday. Which of the following is closest to the total number of tickets sold last year?

A/ 1 million
B/ 1.25 million
C/ 10 million
D/ 12.5 million
E/ 125 million
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Re: Tickets [#permalink]

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New post 03 Mar 2011, 11:46
Last year, a certain public transportation system sold an average (arithmetic mean) of 41 000 tickets per day on weekdays (Monday through Friday) and an average of 18 000 tickets per day on Saturday and Sunday. Which of the following is closest to the total number of tickets sold last year?

average = sum/# of terms

weekdays
41000 = x/5 days
205,000 = x (total tickets sold per week)

weekend
18000 = x/2 days
36000 = x (total tickets sold per week)

so...205k+36k * 52 weeks = 12.5 mil
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Re: Tickets [#permalink]

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New post 03 Mar 2011, 12:43
41000*5+1800*2=241000*52=12532000/1000000=12.532
So, D 12.5
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Re: Last year, a certain public transportation system sold an average [#permalink]

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Re: Last year, a certain public transportation system sold an average [#permalink]

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New post 19 Dec 2015, 10:24
For whole week:

41,000 * 5 + 18,000 * 2

1000 = K
Ballpark now to simplify calculations:
40K*5 + 18K*2 =200K + 36K= 236K

Number of weeks in year 52, ballpark and let's calculate with 50

236K * 50 = 11,800,K
~ 12 M. which is closest to 12.5 M answer D.
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Re: Last year, a certain public transportation system sold an average   [#permalink] 19 Dec 2015, 10:24
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