In a senior secondary school, 80 students play hockey or football. The number that play football is 5 more than twice the number that play hockey. If the 15 students play both games and every student in the school playsat least one game, find:

Question

The number of students that play football;
The number of students that play football but not hockey;
The number of students that play hockey but not football. Full working sir

Answer 1

Start with a Venn diagram.
The intersection is 15, and the total population is 80
Set up the expressions that relate hockey and football.
Set up the equation for all of the students added together...
Solve : )

Answer 2

Review your Venn diagram stuff. If
f play only football
h play only hockey,
then we have
h+f-15 = 80
f+15 = 5+2(h+15)
Now just solve for f and h, and you can answer the questions.

Answer 3

To get the number that play football but not hockey is that you will subtract 65 from 15
To get hockey but not football is that you will subtract 65 from 50 then you will subtract the intersect from your answer.