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

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Updated on: 17 Jul 2015, 09:24

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45% (medium)

Question Stats:

71% (01:16) correct 29% (01:39) wrong based on 303 sessions

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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

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

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)

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

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09 Apr 2018, 06:22

la1212 wrote:

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

Why are you counting 52 weeks ? there are 4 weeks in month and 12 month in a year hence 4*12 = 48

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

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09 Apr 2018, 07:06

dave13 wrote:

la1212 wrote:

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

Why are you counting 52 weeks ? there are 4 weeks in month and 12 month in a year hence 4*12 = 48

How many days are there in one year? Divide that by 7. What do you get?
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Last year, a certain public transportation system sold an average [#permalink]

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20 Apr 2018, 14:48

Top Contributor

jimmyjamesdonkey wrote:

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

The word "closest" suggests that we can use some estimation here.

Let's first estimate the number of tickets sold PER WEEK 41,000 tickets per day on weekdays (5)(41,000) = 205,000

18,000 tickets per day on weekends (2)(18,000) = 36,000

So, total tickets sold PER WEEK = 205,000 + 36,000 = 241,000 To make our calculations easier, let's round it off to 240,000 tickets per week

There are 52 weeks in the years, so the TOTAL (annual) ticket sales is (52)(240,000) HOWEVER, since the GMAT is not testing whether or not you are a human calculator, we can probably just say there are 50 weeks in a year.

(50)(240,000) = 12,000,000 Of course, there are actually 52 weeks in the year, so the correct answer is a BIT MORE than 12,000,000

Choose D

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Last year, a certain public transportation system sold an average
[#permalink]
20 Apr 2018, 14:48