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Difficulty:
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94% (00:54) correct
6%
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wrong
based on 82
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Two family reunions are happening at the same hotel, the Oates reunion and the Hall reunion. All 100 guests at the hotel attend at least one of the reunions. If 40 people attend the Oates reunion and 62 people attend the Hall reunion, how many people attend both reunions?
(A) 2
(B) 5
(C) 10
(D) 16
(E) 22
Kudos for a correct solution.
_________________
(A) 2
(B) 5
(C) 10
(D) 16
(E) 22
Kudos for a correct solution.
_________________
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Bunuel
Ans: A
Solution: Total = O+H-both
100 = 62+40-x
x=2
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Bunuel
Refer to the attached image for the matrix method. Text in black : given, text in red: calculated.
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Total =100, O=40 ,H=62, both = x
Total = o+h-x =>100=40+62-x
=> x=2
hence answer is A
Total = o+h-x =>100=40+62-x
=> x=2
hence answer is A
Bunuel
No of people in Oates reunion=40
No of people in Hall reunion=62
Attending both=x
All guests attend at least one.
Therefore, 100=40+62-(Both)
Both=2
Answer A
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