In a class of 30 students, 1/5 of total number of students like to play football only, 2/5 of the total students like cricket. Remaining like to play both, find the amount of students that like to play both.

Dear student,Q. In a class of 30 students, 1/5 of total number of students like to play football only, 2/5 of the total students like cricket. Remaining like to play both, find the amount of students that like to play both. Sol.Total number of students = 30   Students who like to play football=15×30=6Students who like to play cricket=25×30=6×2=12Students who like to play both=Total number of studentsStudents who like to play footballStudents who like to play cricket                                   =30-6-12                                   =30-18                                   =12Therefore, 12 Students like to play both.Regards      

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