At Tufton University, 40% of all students are members of both a chess club and a swim team. If 20% of members of the swim team are not members of the chess club, what percentage of all Daifu students are members of the swim team?
A. 20%
B. 30%
C. 40%
D. 50%
E. 60%
B. 30%
C. 40%
D. 50%
E. 60%
Answer:
____________________________________________
Total Students = T
Swim Club Only = S
Chess Club Only = C
Both Swim and Chess = B which is 40% of T = 0.4 T
And C= 0.8 S
Swim Club Only = S
Chess Club Only = C
Both Swim and Chess = B which is 40% of T = 0.4 T
And C= 0.8 S
____________________________________________
Equations :
S + C+ B = T
S + 0.8S + 0.4T = T
1.8S = 0.6T
So 1.8/0.6 = 30% i.e. 30 % of total are on the swim team
S + C+ B = T
S + 0.8S + 0.4T = T
1.8S = 0.6T
So 1.8/0.6 = 30% i.e. 30 % of total are on the swim team
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