In a class in the school down the road, everyone plays tennis or golf or both.
In fact, 80% play tennis and 70% play golf.
What percentage play both games? Show your working.
Answers
✪|| Solution ||✪
No. of students play tennis = 80%
No. of students play golf = 70%
No. of students play both game = ( 80% + 70%) - 100%
No. of students play both game = 150% - 100%
No. of students play both game = 50%
No. of students play both game is 50%
Given : everyone plays tennis or golf or both. In fact, 80% play tennis and 70% play golf.
To find : What percentage play both games
Solution:
everyone plays tennis or golf or both.
Total = 100 %
Play Tennis T= 80 %
Play golf G = 70 %
Play both = T ∩ G = ?
Play none = 0 ( everyone plays tennis or golf or both.)
Total = Tennis + Golf - Both + None
=> 100 = 70 + 80 - Both + 0
=> 100 = 150 - Both
=> Both = 50 %
50 % Play both Games
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