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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
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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?
Re: In a certain football league of 240 players, 100 players are right-foo
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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
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
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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Re: In a certain football league of 240 players, 100 players are right-foo [#permalink]