In a small section of a stadium there are 40 spectators watching a game between the Cook Islands and Fiji. They all support at least one of the two teams. 25 spectators support the Cook Islands and 16 of these support both teams. How many support only Fiji?

1 answer

number supporting only Fiji ---- x

x + 25 = 40 , note the 25 includes the 16 for both
x = 15

If you make a Venn diagram, you will see where my equation comes from.

number supporting only Cook = 25-16 = 9
number supporting only Fiji = 15
number supporting both = 16

and of course 9+15+16 = 40