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24 May 2018, 06:07
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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Question Stats:
38% (02:00) correct
63%
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wrong
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At Tyler High School, there are twice as many girls than boys on the yearbook staff. At one staff meeting, the percentage of girls attending was twice the percentage of boys. What percent of those attending were boys?
A) 20
B) 25
C) 30
D) 33
E) 50
A) 20
B) 25
C) 30
D) 33
E) 50
24 May 2018, 12:38
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Bunuel
The easiest way to do these problems is to use simple numbers.
Since there are twice as many girls as boys on the yearbook staff, let's assume 200 girls for the 100 boys.
In the meeting, the percentage of girls attending is twice the percentage of boys.
If we are to assume an arbitrary value - for 100% girls that attended the meeting, 50% boys attended the meeting.
In this case, the number of boys and girls attending the meeting are \(\frac{50}{100}*100 = 50\) and \(200\) respectively.
Therefore, the percentage of boys attending the meeting was \(\frac{50}{50+200}*100\) = 20%(Option A)
24 May 2018, 18:03
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Bunuel
Expanding a bit on pushpitkc 's excellent answer in order to clear up possible language doubts.*
(1) Assign a number of girls in the club
# of girls in the club = 120
# of boys in the club hence = 60
(2) Assign the percentage of female club members who attend the meeting
OF the girls in the club, what percentage of those girls went to the meeting?
This choice is arbitrary. Make it easy to use.
Percentage of girls who attend meeting: 50%
Percentage of boys who attend meeting: 25%
3) calculate #s of persons at the meeting
Girls: 50% = \((.5*120)= 60\) girls
Boys: 25% = \((.25*60)=15\) boys
Total #: \((60+15)=75\) persons at the meeting
4) Boys = what percent of people at the meeting?
Percent: \(\frac{Part}{Whole}*100\)
Boys = 15
Total = 75
Percent of meeting attendees who were boys:
\((\frac{15}{75}*100)=(.20*100)=20\) percent
Answer A
This phrase: "the percentage of girls attending was twice the percentage of boys" does NOT mean that at the meeting, girls= 66.7% of attendees and boys = 33.3% of attendees.
