Bunuel wrote:
A certain business school has a student body of 2,000 students, 45% of whom are male. What percent of the students are international students?
(1) The number of male international students in the business school is twice the number of female students who are not international students.
(2) The number of male students who are not international students is twice the number of male students who are international students.
Kudos for a correct solution.
2000 total students. 45% i.e. 900 male so 1100 female. We need the total of International students.
Statement 1:
Make the table:
.......................Regular................International...........Total
Male...................................................2x......................900
Female..................x......................................................1100
Total...............................................................................
There is no way to know the total number of international students.
Statement 2:
.......................Regular................International...........Total
Male......................4x.............................2x....................900
Female..........................................................................1100
Total...............................................................................
We get that 6x = 900 so x = 150. But there is no way to know the number of female international students.
Both together:
.......................Regular................International...........Total
Male......................600.............................300....................900
Female...................150...............................y.......................1100
Total...............................................................................
Female international students = 1100 - 150 = 950 = y
Total number of international students = 300+950
We can find the desired % now.
Answer (C)