Question
Class of 20 students, 13 play soccer, 8 play tennis and 2 play neither.
Find how many students
a) Play soccer or tennis
b) Play both soccer and tennis
c) Play only soccer
Find how many students
a) Play soccer or tennis
b) Play both soccer and tennis
c) Play only soccer
Answers
made a Venn diagram, labeled the intersection of the soccer circle and the tennis circle as x
then ...
13-x + x - 8-x + 2 = 20
-x = -3
x = 3
All can now be seen from the Venn diagram
soccer of tennis --- 18
both soccer and tennis -- 3
only soccer --- 10
then ...
13-x + x - 8-x + 2 = 20
-x = -3
x = 3
All can now be seen from the Venn diagram
soccer of tennis --- 18
both soccer and tennis -- 3
only soccer --- 10
y6
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