SOLUTION: in a class where all students play either cricket or football or both, if the number of students who play 2 games is 40 which is 60 less than the number of students who play only o

Algebra ->  Equations -> SOLUTION: in a class where all students play either cricket or football or both, if the number of students who play 2 games is 40 which is 60 less than the number of students who play only o      Log On


   

Question 1118370: in a class where all students play either cricket or football or both, if the number of students who play 2 games is 40 which is 60 less than the number of students who play only one of the games. find the strength of the class
Answer by ikleyn(52780) About Me  (Show Source):
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Answer. 40 + (40+60) = 140. There are 140 students in the class.

Solution. 

According to the condition, each student belongs to one of the two subsets:


    a) EITHER 40 students who play both cricket and football,   


    b) OR  (40+60)  students who play only one sport.


These two subsets have empty intersection and cover the entire population of the class, which gives the answer.