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Of the 150 people at a party, 70 were women, and 30 women tried the ap

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Bunuel
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Of the 150 people at a party, 70 were women, and 30 women tried the ap [#permalink] New post   29 Jan 2015, 08:40
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Of the 150 people at a party, 70 were women, and 30 women tried the appetizer. If 50 people did not try the appetizer, what is the total number of men who tried the appetizer?

A. 40
B. 50
C. 60
D. 70
E. 80

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D
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Re: Of the 150 people at a party, 70 were women, and 30 women tried the ap [#permalink] New post   29 Jan 2015, 10:13
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ans D 70....
given that..
. M F total
T 30
NT 50
total 70 150
complete the matrix...

M F total
T 70 30 100
NT 10 40 50
total 80 70 150
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Re: Of the 150 people at a party, 70 were women, and 30 women tried the ap [#permalink] New post   02 Feb 2015, 03:54
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Bunuel wrote:
Of the 150 people at a party, 70 were women, and 30 women tried the appetizer. If 50 people did not try the appetizer, what is the total number of men who tried the appetizer?

A. 40
B. 50
C. 60
D. 70
E. 80

Kudos for a correct solution.


Because this problem includes two mutually-exclusive categories (Tried and Did Not Try, and Women and Men) it's a great candidate for a Matrix Box setup. Applying the given information, you have:
Attachment:
Appetizer1.png
Appetizer1.png [ 4.6 KiB | Viewed 3918 times ]

Then summing the rows and columns, you can fill in the rest:
Attachment:
Appetizer2.png
Appetizer2.png [ 5.23 KiB | Viewed 3961 times ]

Since the problem asks for the number of men who tried the appetizer, the correct answer is 70.
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Re: Of the 150 people at a party, 70 were women, and 30 women tried the ap [#permalink] New post   18 Sep 2015, 13:35
Total people at party=150
Women=70
so Men 150-70=80
No. of pple who tried appetizer=150-50 (given info)=100
No of women who tried appetizer=30
So Remaining ppl(men) who tried the appetizer =100-30=70
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Re: Of the 150 people at a party, 70 were women, and 30 women tried the ap [#permalink] New post   26 May 2019, 08:38
Bunuel wrote:
Of the 150 people at a party, 70 were women, and 30 women tried the appetizer. If 50 people did not try the appetizer, what is the total number of men who tried the appetizer?

A. 40
B. 50
C. 60
D. 70
E. 80

Kudos for a correct solution.


Check the diagram
Attachment:
IMG_20190526_210607__01.jpg
IMG_20190526_210607__01.jpg [ 1.61 MiB | Viewed 2328 times ]


D. 70
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Of the 150 people at a party, 70 were women, and 30 women tried the ap [#permalink] New post   26 Dec 2020, 05:06
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SOLUTION:

Number of Men are = 150-70=80 men

Number of women who did NOT try the appetizer = 70-30 = 40 women out of 50 people who did NOT try the appetizer.

Hence number of men who did NOT try the appetizer = 50-40=10 out of 80 men

=>Number of men who tried the appetizer = 80-10=70 men (OPTION D)

Hope this helps :thumbsup:
Devmitra Sen(Math)
GMAT Club Bot
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Of the 150 people at a party, 70 were women, and 30 women tried the ap [#permalink]
26 Dec 2020, 05:06
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