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?

Question

Bolton

Social Studies

8 July, 23:03

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?

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Answers (1)

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Tucker Newton · Answer 1

The maximum number of students not participating in a department is 384 students.

Explanation:

This is due to the following calculation:

The total number of students at school T is 800

70% are Men = 560 Men

30% are Women = 240 Women

10% of women do sports = 24 women

Less than 30% of Men do not do sports = 168 Men

So if we subtract from the total number of women the number of women who do sports, we have that 216 Women do not do Sports.

Then we proceed to add the total number of women who do not play sports with the total number of men who do not play sports, that is, 216 Women plus 168 men = 384 students (maximum) who do not play sports.

This value represents 48% of the total number of students of the school T.