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A music festival took place over two days, Saturday and Sunday. What

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A music festival took place over two days, Saturday and Sunday. What  [#permalink]

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30 Jun 2018, 22:54
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85% (hard)

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32% (01:14) correct 68% (01:25) wrong based on 126 sessions

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A music festival took place over two days, Saturday and Sunday. What percent of attendees only attended on Saturday?

(1) 40% of attendees attended both days.

(2) 70% of attendees attended on Sunday.

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Re: A music festival took place over two days, Saturday and Sunday. What  [#permalink]

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30 Jun 2018, 23:12
venn diagram in use

Total = A+B-AandB+ Neither
Stat 1 and 2 both do not give us Neither hence E
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Re: A music festival took place over two days, Saturday and Sunday. What  [#permalink]

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30 Jun 2018, 23:52
1
Bunuel wrote:
A music festival took place over two days, Saturday and Sunday. What percent of attendees only attended on Saturday?

(1) 40% of attendees attended both days.

(2) 70% of attendees attended on Sunday.

I think, "attendees" implies that at least one of the days was attended by everyone. Hence the case of neither Saturday nor Sunday is 0.

Obviously Statement 1 or 2 alone are not sufficient.

Combining both we can find % of attendees who only attended on Saturday.

Thanks,
GyM
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Re: A music festival took place over two days, Saturday and Sunday. What  [#permalink]

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01 Jul 2018, 00:02
30% on Sunday only. 40% on Saturday and Sunday. Since every person attended at least on one day, 30% attended on Saturday. Hence, answer choice C.
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Re: A music festival took place over two days, Saturday and Sunday. What  [#permalink]

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01 Jul 2018, 04:58
Statement 2 says that 70% attended on Sunday .... This implies that 70% includes those that attended only on Sunday and those who attended both days (since someone who attended both days would have automatically attended on Sunday too, and hence part of the 70%)
Therefore, 100%-70%=30% attended on Saturday.
Therefore B.

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Re: A music festival took place over two days, Saturday and Sunday. What  [#permalink]

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01 Jul 2018, 05:30
Bunuel wrote:
A music festival took place over two days, Saturday and Sunday. What percent of attendees only attended on Saturday?

(1) 40% of attendees attended both days.

(2) 70% of attendees attended on Sunday.

Since it's percentage of attendees, the number who didn't attend on either days is 0.

Statement 1: 40% of attendees attended both days. Insufficient.

Statement 2: 70% of attendees attended on Sunday. Insufficient.

Taken Together,

Out of 100 attendees, 70 attended on Sunday, 40 attended on both days;

This means that number of attendees who attended only on Sunday = 70 - 40 = 30.

Therefore, the number who attended only on Saturday = 100 - 40(Both) - 30(only Sunday) = 30. Sufficient.

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Re: A music festival took place over two days, Saturday and Sunday. What  [#permalink]

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01 Jul 2018, 05:31
Attendees should mean that there is no one outside the group of Saturday and Sunday. S IMO option B should be sufficient.
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Re: A music festival took place over two days, Saturday and Sunday. What  [#permalink]

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30 Jul 2018, 13:48
Bunuel wrote:
A music festival took place over two days, Saturday and Sunday. What percent of attendees only attended on Saturday?

(1) 40% of attendees attended both days.

(2) 70% of attendees attended on Sunday.

Dear GMATGuruNY

Can you help with this question? From OA, it is assumed that the festival connected on both days, while the wording, for me at least, may suggest only it is 2 days festival? How can I infer that someone who attended on Sunday must have attended on Saturday?

Bunuel

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Joined: 04 Aug 2010
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Schools: Dartmouth College
A music festival took place over two days, Saturday and Sunday. What  [#permalink]

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Updated on: 31 Jul 2018, 02:26
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Mo2men wrote:
Dear GMATGuruNY

Can you help with this question? From OA, it is assumed that the festival connected on both days, while the wording, for me at least, may suggest only it is 2 days festival?

A music festival took place over two days, Saturday and Sunday.
This wording conveys that the festival lasted exactly two days (Saturday and Sunday).

Quote:
How can I infer that someone who attended on Sunday must have attended on Saturday?k

The prompt does not indicate that anyone who attended Sunday must also have attended Saturday.
Before we examine the statements, we know only the following:
Anyone who attended the festival must have attended only Saturday, only Sunday, or both days.
Let the total number of attendees = 100.

Statement 1: 40% of attendees attended both days.
No way to determine how many attendees attended only Saturday.
INSUFFICIENT.

Statement 2: 70% of attendees attended on Sunday.
Since 70 of the 100 attendees attended Sunday, the remaining 30 did NOT attend Sunday and thus must have attended only Saturday.
SUFFICIENT.

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Originally posted by GMATGuruNY on 30 Jul 2018, 16:44.
Last edited by GMATGuruNY on 31 Jul 2018, 02:26, edited 1 time in total.
Math Expert
Joined: 02 Aug 2009
Posts: 7213
Re: A music festival took place over two days, Saturday and Sunday. What  [#permalink]

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30 Jul 2018, 18:20
Bunuel wrote:
A music festival took place over two days, Saturday and Sunday. What percent of attendees only attended on Saturday?

(1) 40% of attendees attended both days.

(2) 70% of attendees attended on Sunday.

Many times we perceive a question to be difficult and do not answer correctly even though the question is a simple one.
So do not complicate a question just because we believe it to be difficult

So people attending only on Sunday = x%
Only on Saturday =y%
Both days = b%
x+y+b=100
We are looking for y??

(1) 40% of attendees attended both days.
so b=40%
Hence x+y=60%
Insufficient

(2) 70% of attendees attended on Sunday
On Sunday = x+b=70
And we know x+y+b=100
y=100-70=30
Sufficient

B
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A music festival took place over two days, Saturday and Sunday. What  [#permalink]

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30 Jul 2018, 19:10
Bunuel wrote:
A music festival took place over two days, Saturday and Sunday. What percent of attendees only attended on Saturday?

(1) 40% of attendees attended both days.

(2) 70% of attendees attended on Sunday.

Event took place on 2 days. So no other day we can consider.

People who have not attended are never called attendees.

Using this information we move forward.

Let X be the people who have attended event only on Saturday.

Let Y be the people who have attended event only on Sunday.

Let Z be the people who have attended event on both Saturday and Sunday.

So,

X+Y+Z = 100% ------- (1)

Statement A - 40% of attendees attended both days.

This means our Z = 40%. ----- (2)

But we still cannot find X using equation (1) & (2)

Hence Statement (A) is insufficient.

-----------------------------

Statement B - 70% of attendees attended on Sunday.

This means our Y + Z = 70% ------- (3)
because Z includes people who have visited on sunday as well and not only saturday

Hence using equation (1) and (3) we can find X.

Hence Statement (B) is sufficient.

-----------------------------

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A music festival took place over two days, Saturday and Sunday. What &nbs [#permalink] 30 Jul 2018, 19:10
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