A survey among 50 students showed that 30 students played football?

a survey among 50 students showed that 30 students played football, 9 students played cricket, x students played neither cricket nor football, 3x students played cricket only.





find the amount that played cricket only.

A survey among 50 students showed that 30 students played football?
Cricket only = 3x


So Cricket and Football = 9-3x


So football only = 30 -(9-3x) =21 +3x


Total =50


21+3x + 9 - 3x +3x +x =50


4x = 20


x=5


Cricket only =15
Reply:Intersection = 9 - 3x





[30 - (9 - 3x)] + (9 - 3x) + x + 3x = 50


30 - 9 + 3x + 9 - 3x + x + 3x = 50


30 + 4x = 50


4x = 20


x = 5





Hence 3(5) = 15 students played cricket only.
Reply:If 9 played cricket how can 15 play cricket only ?. I dont think there is enough info to get an excact number you are gonna end up with a less than or more than issue.





Actually I think the problem is written wrong .


If 20 didnt play football. and of those 20 they either did or didnt play cricket. so did is 3x didnt is 1 x so


3x plus 1 x = 20


which also gives me X=5


which is impossible because you end up with more students playing cricket only than the number given as playing cricket.