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A comedian is playing two shows at a certain comedy club, and twice as

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Sajjad1994
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A comedian is playing two shows at a certain comedy club, and twice as [#permalink] New post   24 Feb 2017, 08:27
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A comedian is playing two shows at a certain comedy club, and twice as many tickets have been issued for the evening show as for the afternoon show. Of the total number of tickets issued for both shows, what percentage has been sold?

(1) A total of 450 tickets have been issued for both shows.

(2) Exactly 3/5 of the tickets issued for the afternoon show have been sold, and 1/5 exactly of the tickets issued for the evening show have been sold
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mikemcgarry
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Re: A comedian is playing two shows at a certain comedy club, and twice as [#permalink] New post   24 Feb 2017, 18:01
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SajjadAhmad wrote:
A comedian is playing two shows at a certain comedy club, and twice as many tickets have been issued for the evening show as for the afternoon show. Of the total number of tickets issued for both shows, what percentage has been sold?
(1) A total of 450 tickets have been issued for both shows.
(2) Exactly 3/5 of the tickets issued for the afternoon show have been sold, and 1/5 exactly of the tickets issued for the evening show have been sold

Dear SajjadAhmad,

I'm happy to respond. :-)

This question makes the somewhat arcane distinction between "tickets issued" and "tickets sold," but at least they are consistent with terminology through the question.

We need to know both the total number of tickets issued, and the percent sold of those issued. Let's say that T tickets were issued for the morning, and 2T, for the evening.

Statement #1: 450 Tickets
We know T = 150 and 2T = 300, but we have no idea how many have been sold. Not sufficient.

Statement #2: Exactly 3/5 of the tickets issued for the afternoon show have been sold, and 1/5 exactly of the tickets issued for the evening show have been sold.

What we have been given is "ratio information" and what we are asked to find is "ratio information." This may well be enough: we don't necessarily need to know exact counts to answer a question about ratios/percents. For more on these ideas, see:
GMAT Quantitative: Ratio and Proportions

Total number of tickets issued = T + 2T = 3T

Sold in afternoon show: = (3/5)T
Sold in evening show = (1/5)(2T) = (2/5)T
Sold, total = (3/5 + 2/5)T = T

Percentage sold = T/(3T) x 100% = (1/3) x 100%

We don't need to compute further, although it's probably obvious that it's 33.33%. We have a numerical answer to the prompt. This statement is sufficient.

OA = (B)

This book review might be germane:
Princeton Review GMAT Book Review: Cracking the GMAT 2017

Does all this make sense?
Mike :-)
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Re: A comedian is playing two shows at a certain comedy club, and twice as [#permalink] New post   24 Feb 2017, 22:13
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mikemcgarry wrote:
SajjadAhmad wrote:
A comedian is playing two shows at a certain comedy club, and twice as many tickets have been issued for the evening show as for the afternoon show. Of the total number of tickets issued for both shows, what percentage has been sold?
(1) A total of 450 tickets have been issued for both shows.
(2) Exactly 3/5 of the tickets issued for the afternoon show have been sold, and 1/5 exactly of the tickets issued for the evening show have been sold

Dear SajjadAhmad,

I'm happy to respond. :-)

This question makes the somewhat arcane distinction between "tickets issued" and "tickets sold," but at least they are consistent with terminology through the question.

We need to know both the total number of tickets issued, and the percent sold of those issued. The individual statements are clearly not sufficient and are very easy to eliminate.

Put the statements together.
450 tickets issued
"twice as many tickets have been issued for the evening show as for the afternoon show"
This means
150 issued for the afternoon show
300 issued for the evening show

"Exactly 3/5 of the tickets issued for the afternoon show have been sold"
(3/5)(150) = 90 sold for the afternoon show
1/5 exactly of the tickets issued for the evening show have been sold
(1/5)(300) = 60 sold for the evening show

A total of 90 + 60 = 150 tickets have been sold. Now, we just want to know, 150 is what percent of 450? We don't need to perform the calculation. It's enough to realize that we have all the information we need. Together, the statements are sufficient.

This book review might be germane:
Princeton Review GMAT Book Review: Cracking the GMAT 2017

Does all this make sense?
Mike :-)

!
Yes! It Does and thanks for explanation :)
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Re: A comedian is playing two shows at a certain comedy club, and twice as [#permalink] New post   24 Feb 2017, 22:41
SajjadAhmad wrote:
A comedian is playing two shows at a certain comedy club, and twice as many tickets have been issued for the evening show as for the afternoon show. Of the total number of tickets issued for both shows, what percentage has been sold?
(1) A total of 450 tickets have been issued for both shows.
(2) Exactly 3/5 of the tickets issued for the afternoon show have been sold, and 1/5 exactly of the tickets issued for the evening show have been sold



Hi,
It is very nice question and thanks for sharing it.

Given: Afternoon Show Issued tickets : X ; Evening Show Issued tickets : 2X ; Total Issued : 3X

(1) A total of 450 tickets have been issued for both shows.
It tells about 3X = 450, so X=150 & 2X=300
Nothing about the Sold tickets, so first statement is not sufficient alone.

(2) Exactly 3/5 of the tickets issued for the afternoon show have been sold, and 1/5 exactly of the tickets issued for the evening show have been sold[/quote]
It tells; afternoon sale = (3/5)*X and evening sale = (1/5)*2X
Total sale = (3/5)*X + (1/5)*2X = X{(3/5)+(2/5)} = X (1)

Hence,
% of the total sold to the total issued = (X/3X)*100 = 33.33%

so, second statement is sufficient alone.

Ans. B
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Re: A comedian is playing two shows at a certain comedy club, and twice as [#permalink] New post   25 Feb 2017, 07:36
mikemcgarry wrote:
SajjadAhmad wrote:
A comedian is playing two shows at a certain comedy club, and twice as many tickets have been issued for the evening show as for the afternoon show. Of the total number of tickets issued for both shows, what percentage has been sold?
(1) A total of 450 tickets have been issued for both shows.
(2) Exactly 3/5 of the tickets issued for the afternoon show have been sold, and 1/5 exactly of the tickets issued for the evening show have been sold

Dear SajjadAhmad,

I'm happy to respond. :-)

This question makes the somewhat arcane distinction between "tickets issued" and "tickets sold," but at least they are consistent with terminology through the question.

We need to know both the total number of tickets issued, and the percent sold of those issued. The individual statements are clearly not sufficient and are very easy to eliminate.

Put the statements together.
450 tickets issued
"twice as many tickets have been issued for the evening show as for the afternoon show"
This means
150 issued for the afternoon show
300 issued for the evening show

"Exactly 3/5 of the tickets issued for the afternoon show have been sold"
(3/5)(150) = 90 sold for the afternoon show
1/5 exactly of the tickets issued for the evening show have been sold
(1/5)(300) = 60 sold for the evening show

A total of 90 + 60 = 150 tickets have been sold. Now, we just want to know, 150 is what percent of 450? We don't need to perform the calculation. It's enough to realize that we have all the information we need. Together, the statements are sufficient.

This book review might be germane:
Princeton Review GMAT Book Review: Cracking the GMAT 2017

Does all this make sense?
Mike :-)



I think B alone is sufficient to answer the question.
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Re: A comedian is playing two shows at a certain comedy club, and twice as [#permalink] New post   26 Feb 2017, 14:38
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mikemcgarry wrote:
SajjadAhmad wrote:
A comedian is playing two shows at a certain comedy club, and twice as many tickets have been issued for the evening show as for the afternoon show. Of the total number of tickets issued for both shows, what percentage has been sold?
(1) A total of 450 tickets have been issued for both shows.
(2) Exactly 3/5 of the tickets issued for the afternoon show have been sold, and 1/5 exactly of the tickets issued for the evening show have been sold

Dear SajjadAhmad,

I'm happy to respond. :-)

This question makes the somewhat arcane distinction between "tickets issued" and "tickets sold," but at least they are consistent with terminology through the question.

We need to know both the total number of tickets issued, and the percent sold of those issued. The individual statements are clearly not sufficient and are very easy to eliminate.

Put the statements together.
450 tickets issued
"twice as many tickets have been issued for the evening show as for the afternoon show"
This means
150 issued for the afternoon show
300 issued for the evening show

"Exactly 3/5 of the tickets issued for the afternoon show have been sold"
(3/5)(150) = 90 sold for the afternoon show
1/5 exactly of the tickets issued for the evening show have been sold
(1/5)(300) = 60 sold for the evening show

A total of 90 + 60 = 150 tickets have been sold. Now, we just want to know, 150 is what percent of 450? We don't need to perform the calculation. It's enough to realize that we have all the information we need. Together, the statements are sufficient.

This book review might be germane:
Princeton Review GMAT Book Review: Cracking the GMAT 2017

Does all this make sense?
Mike :-)



Dear Mike,

I believe the answer is B

From the prompt:
Afternoon ticket numbers issued =z,
Afternoon ticket numbers issued=2z
Total tickets issued= 3z

1) 450 is issued but no info for sold tickets.

Insufficient

2) Afternoon sold tickets = (3/5)z
Evening sold tickets = (1/5) (2z)= (2/5)z
Total sold tickets = (3/5)z + (2/5)z = z

Percentage sold = total tickets sold/ total tickets issued = z/3z =1/3= 33.3%......So answer is always 33.3% regardless of the number of tickets issued.

Therefore, statement 2 is sufficient to answer the question.

What do you think?
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mikemcgarry
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Re: A comedian is playing two shows at a certain comedy club, and twice as [#permalink] New post   27 Feb 2017, 11:18
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Mo2men wrote:
mikemcgarry wrote:
SajjadAhmad wrote:
A comedian is playing two shows at a certain comedy club, and twice as many tickets have been issued for the evening show as for the afternoon show. Of the total number of tickets issued for both shows, what percentage has been sold?
(1) A total of 450 tickets have been issued for both shows.
(2) Exactly 3/5 of the tickets issued for the afternoon show have been sold, and 1/5 exactly of the tickets issued for the evening show have been sold

Dear SajjadAhmad,

I'm happy to respond. :-)

This question makes the somewhat arcane distinction between "tickets issued" and "tickets sold," but at least they are consistent with terminology through the question.

We need to know both the total number of tickets issued, and the percent sold of those issued. The individual statements are clearly not sufficient and are very easy to eliminate.

Put the statements together.
450 tickets issued
"twice as many tickets have been issued for the evening show as for the afternoon show"
This means
150 issued for the afternoon show
300 issued for the evening show

"Exactly 3/5 of the tickets issued for the afternoon show have been sold"
(3/5)(150) = 90 sold for the afternoon show
1/5 exactly of the tickets issued for the evening show have been sold
(1/5)(300) = 60 sold for the evening show

A total of 90 + 60 = 150 tickets have been sold. Now, we just want to know, 150 is what percent of 450? We don't need to perform the calculation. It's enough to realize that we have all the information we need. Together, the statements are sufficient.

This book review might be germane:
Princeton Review GMAT Book Review: Cracking the GMAT 2017

Does all this make sense?
Mike :-)

Dear Mike,

I believe the answer is B

From the prompt:
Afternoon ticket numbers issued =z,
Afternoon ticket numbers issued=2z
Total tickets issued= 3z

1) 450 is issued but no info for sold tickets.

Insufficient

2) Afternoon sold tickets = (3/5)z
Evening sold tickets = (1/5) (2z)= (2/5)z
Total sold tickets = (3/5)z + (2/5)z = z

Percentage sold = total tickets sold/ total tickets issued = z/3z =1/3= 33.3%......So answer is always 33.3% regardless of the number of tickets issued.

Therefore, statement 2 is sufficient to answer the question.

What do you think?

Dear Mo2men,

My friend, you are 100% correct. I think I misread the the prompt, thinking they were looking for number, not percent. Of course, for percent, only the fractional information in statement #2 is necessary.

Good work!

Mike :-)
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Re: A comedian is playing two shows at a certain comedy club, and twice as [#permalink]
27 Feb 2017, 11:18
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