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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1053
GPA: 3.39
According to a survey, 7 percent of teenagers have not used a computer
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13 Apr 2022, 09:26
13 Apr 2022, 09:26
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According to a survey, 7 percent of teenagers have not used a computer to play games, 11 percent have not used a computer to write reports, and 95 percent have used a computer for at least one of the above purposes. What percent of the teenagers in the survey have used a computer both to play games and to write reports?
(A) 13%
(B) 56%
(C) 77%
(D) 87%
(E) 91%
(A) 13%
(B) 56%
(C) 77%
(D) 87%
(E) 91%
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1053
GPA: 3.39
Re: According to a survey, 7 percent of teenagers have not used a computer
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17 Apr 2022, 03:19
17 Apr 2022, 03:19
Expert Reply
Given: 7 percent of teenagers have not used a computer to play games.
The percentage of teenagers who have used a computer to play games is 93%. Since 11 percent have not used a computer to write reports, the percentage of teenagers who have used a computer to write reports is 89%
It has been given that teenagers who have used the computer for at least one of the purposes - 95% (making the number of teenagers not using computers - 5%)
P(Total) = P(Play games) + P(Write Reports) - P(Both) + P(Neither)
Substituting values, we will get 100 = 93 + 89 - x + 5 | x = 182 + 5 - 100 = 87
Therefore, the percentage of teenagers who use the computer for both purposes is
87%(Option D)
The percentage of teenagers who have used a computer to play games is 93%. Since 11 percent have not used a computer to write reports, the percentage of teenagers who have used a computer to write reports is 89%
It has been given that teenagers who have used the computer for at least one of the purposes - 95% (making the number of teenagers not using computers - 5%)
P(Total) = P(Play games) + P(Write Reports) - P(Both) + P(Neither)
Substituting values, we will get 100 = 93 + 89 - x + 5 | x = 182 + 5 - 100 = 87
Therefore, the percentage of teenagers who use the computer for both purposes is
87%(Option D)
Re: According to a survey, 7 percent of teenagers have not used a computer
[#permalink]
05 Mar 2024, 21:01
05 Mar 2024, 21:01
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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).
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