Bunuel wrote:
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
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.