LUANDATO wrote: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
The OA is B.
I'm confused by this PS question. Experts, any suggestion about how can I solve it? Thanks in advance.
Hello LUANDATO.
We have 800 students.
Seventy percent are male, this implies that 560 students are male and therefore 240 are females.
1. At least ten percent of the female students in School T participate in a sport; this implies that the minimum number of females that participate in a sport is: 10%*240=24.
2. Fewer than thirty percent of the male students in School T do not participate in a sport; this implies that the maximum of males that do not participate in a sport less than is: 30%*560=168. This tells us that the maximum is 167 males that do not participate in a sport.
3. Now, from 2. we know that the minimum number of males that participate in a sport is: 560-167=393.
Using 3. and 2. we get that the minimum number of students that participate in a sport is: 393+24=417.
In other words, the maximum number of students that do not participate in a sport is 800-417=383.
Therefore, the correct answer is
B.
I hope it helps.
