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In a certain football league of 240 players, 100 players are right-foo
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31 Jan 2022, 06:13
31 Jan 2022, 06:13
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66% (01:27) wrong based on 12 sessions
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In a certain football league of 240 players, 100 players are right-footed, and 150 players are male. If at least 25 female players are left-footed, what is the maximum number of right-footed male players?
(A) 35
(B) 50
(C) 85
(D) 100
(E) 115
(A) 35
(B) 50
(C) 85
(D) 100
(E) 115
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Re: In a certain football league of 240 players, 100 players are right-foo
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31 Jan 2022, 06:26
31 Jan 2022, 06:26
Carcass wrote:
In a certain football league of 240 players, 100 players are right-footed, and 150 players are male. If at least 25 female players are left-footed, what is the maximum number of right-footed male players?
(A) 35
(B) 50
(C) 85
(D) 100
(E) 115
(A) 35
(B) 50
(C) 85
(D) 100
(E) 115
One approach is to use the Double Matrix Method. This technique can be used for questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions).
Here, we have a population of football players, and the two characteristics are:
- male or female
- left-footed or right-footed
So we can set up our matrix as follows:
Notice that I used 25+ to represent the fact that there are AT LEAST 25 left-footed female players.
First recognize that we have a total of 100 right-footed players (male and female)
In order to maximize the number of right-footed male players, we must minimize the number of right-footed female players.
Since 0 is the minimum possible number of right-footed female players, we can let 0 equal the number of right-footed female players, which means there are 90 left-footed female players:
When we complete the matrix, we get:
This means there can be a maximum of 100 right-footed male players
Answer: D
To learn more about the Double Matrix Method, watch this video:
Re: In a certain football league of 240 players, 100 players are right-foo
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22 Nov 2024, 02:54
22 Nov 2024, 02:54
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
