In a school, there are a total of Y Y Y students (boys + girls). Each student likes at least one of the three sports: A, B, and C. The number of stude...
Question
In a school, there are a total of students (boys + girls). Each student likes at least one of the three sports: A, B, and C. The number of students who like all three sports is 114. Additionally, 16% of the total students like sports A and B but not C, 13% like sports B and C but not A, and 4% like sports A and C but not B. The ratio of students who like only A, only B, and only C is 2:3:1 respectively. The total number of students who like at least two sports is 312. Among the students who like exactly two sports, one-third are girls.
What is the number of boys who like exactly two sports?