kidderek
Seventy percent of the 800 students in School T are male. At least ten percent of the female students in School T participate in a sport. Fewer than thirty percent of the male students in School T do not participate in a sport. What is the maximum possible number of students in School T who do not participate in a sport?
A. 216
B. 383
C. 384
D. 416
E. 417
We see that the number of male students in School T = 0.7 x 800 = 560 and, thus, the number of female students = 800 - 560 = 240.
Since at least 10% of the female students in School T participate in a sport, at most 90% of them do not. Since we want to determine the maximum possible number of students in School T who do not participate in a sport, we can say 90% of the female students, i.e., 0.9 x 240 = 216 female students do not participate in a sport. Likewise, since fewer than 30% of the male students in School T, which makes 0.3 x 560 = 168 students, do not participate in a sport, we can assume 168 - 1 = 167 male students do not participate in a sport.
Thus the total number of students who do not participate in a sport is at most 216 + 167 = 383.
Answer: B