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# Please solve the middle question with steps

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Intern
Joined: 14 Jun 2017
Posts: 10

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20 Jun 2017, 13:59
SVP
Joined: 06 Nov 2014
Posts: 1868

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21 Jun 2017, 06:31

I would be happy to help. However, it would have been great if could have typed the question.

Total students = Band only + Orchestra only + Both band and orchestra;

Given, Band only + Orchestra only = 80% and Band only = 50%
Hence Orchestra only = 30%.

Hence total students in Band = 100% Orchestra only = 70%
We are told that 70% of Total students = 119

Hence Total students = 170
Orchestra only = 30% of 170 = 51.

Correct Option: B

it is always a best practice to search for a question before posting it again
Intern
Joined: 14 Jun 2017
Posts: 10

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26 Jun 2017, 00:01
How do I search for the question?
Intern
Joined: 14 Jun 2017
Posts: 10

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26 Jun 2017, 00:02
It is written tht 50% of total is 119. And not 70%.
How did you get tht?
Intern
Joined: 14 Jun 2017
Posts: 10

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26 Jun 2017, 00:11
Also I'd like to mention that there are no formulas given for posting through an app.
An image sign is given,hence I took a picture of the question instead of typing it.
SVP
Joined: 06 Nov 2014
Posts: 1868

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27 Jun 2017, 10:11
You can search for any question form the search bar by typing in a few words of the question.
Regarding the question, it says that 50% on the students are in Band only.

Hope this helps!
Intern
Joined: 01 May 2017
Posts: 7

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05 Jul 2017, 20:01
Hi,
Please see the solution in the image. Let me know if you need further clarification.
Thanks,
Attachments

New Doc 12_1.jpg [ 712 KiB | Viewed 735 times ]

Intern
Joined: 31 Jul 2013
Posts: 14
Location: Viet Nam
Concentration: General Management, Entrepreneurship
GMAT 1: 650 Q49 V28
GPA: 3.46
WE: Sales (Computer Software)

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08 Jul 2017, 21:32
Band Not Band Total
Orch a b
Not O c d
Total 119 x

What you have from the question, write down:
c + b = 0.8x (80% of students are only in 1 group)
a + c = 119 (a + c are students in band, not 0)
c = 0.5x (50% of students are band only)
a + b + c = x (all of students are in band, or or both, that means d = 0)

Solve you have: b = 0.8x - 0.5x = 0.3x (1)
a + b + c = x <=> 119 - c + b + c = x <=> b = x - 119 (2)
From (1) and (2) you have b = 51. Answer B
Re: Please solve the middle question with steps   [#permalink] 08 Jul 2017, 21:32
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# Please solve the middle question with steps

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