In a form of 30 girls, 18 play netball and 14 play hockey, whilst 5 play neither. Find the number of those who play both netball and hockey?

3 answers

Form a venn diagram and write the following equation:

Girls playing only netball + only hockey + both + neither =30.

Let girls playing both be x.

Hence, (18-x) + (14-x) + x + 5 =30.

Solve for x.

Answer is 7
11 and 7
18-x+14-x+x+5=30
18+14+5+x+x-x=30
37+x=30
37-30=x
X=7