Question

97 cities were surveyed to determine sports teams. 25 had soccer, 24 had rugy, 21 had basketball, 12 had soccer and rugby, 11 had soccer and basketball, 12 had rugby and basketball, and 5 had all three.
using a ven diagram, solve these possibilites.

a.) how many had only a rugy team?
b.) how many had soccer and rugby, but not basketball?
c.) how many had soccer or rugby?
d.) how many soccer or rugby, but not basketball?
e.) how many had exactly two teams?
f.) how many had at least two teams?
g.) how many had at least one team?
h.) how many had no teams?

Answer 1

Answer:

Step-by-step explanation:

Given that 97 cities were surveyed to determine sports teams. 25 had soccer, 24 had rugy, 21 had basketball, 12 had soccer and rugby, 11 had soccer and basketball, 12 had rugby and basketball, and 5 had all three.

a) Only rugy team =5

b) Soccer and rugby but not basket ball = 7(green shaded in the diagram)

c) Soccer or rugy = 25+24-12= 37

d) soccer or rugby, but not basketball=37-(6+5+7) = 19

e) Exactly two teams = 7=7+6 = 20

f) Atleast two teams = 7+5+6+7 =25

g) Atleast one team = Total - no team = 40

h) No teams = 91-40 = 51