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Of the 120 passengers on Flight 750, 50% are female. 10% of the passen
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05 May 2021, 06:16
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Question Stats:
95% (01:56) correct
4% (02:06) wrong based on 24 sessions
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Of the 120 passengers on Flight 750, 50% are female. 10% of the passengers sit in first class, and the rest of the passengers sit in coach class. If 1/3 of the passengers in first class are male, how many females are there in coach class?
Re: Of the 120 passengers on Flight 750, 50% are female. 10% of the passen
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05 May 2021, 06:30
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Carcass wrote:
Of the 120 passengers on Flight 750, 50% are female. 10% of the passengers sit in first class, and the rest of the passengers sit in coach class. If 1/3 of the passengers in first class are male, how many females are there in coach class?
We can solve this question by using a technique called the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions).. Here, we have a population of passengers, and the two characteristics are: - male or female - first class or coach class
Of the 120 passengers on Flight 750, 50% are female. 10% of the passengers sit in first class, and the rest of the passengers sit in coach class. With this information we can set up our diagram as follows:
1/3 of the passengers in first class are male We already know that there are 12 passengers in first class 1/3 of 12 = 4, so there are 4 male passengers in first class So we get:
At this point we can fill in the remaining boxes to get:
How many females are there in coach class? The yellow box above denotes the number of females in coach class So we can see that there are 52 females in coach class
Answer: D
To learn more about the Double Matrix Method, watch this video:
gmatclubot
Re: Of the 120 passengers on Flight 750, 50% are female. 10% of the passen [#permalink]
05 May 2021, 06:16 
95% (01:56) correct
