Question

In a class in the school down the road, everyone plays tennis or golf or both.
In fact, 80% play tennis and 70% play golf.
What percentage play both games? Show your working.

Answer 1

Answer:

let x be the total number of students in the school

then 80% of x = number of students who play tennis

                       = 80/100*x

                       = 4x/5

also 70% of x = number of students who play golf

                       = 70/100*x

                       = 7x/10

therefore number of students who play both = number of students who play tennis - number of students who play golf

= 4x/5 - 7x/10

= 1x/10

percentage that play both games = x/10/x * 100

                                                        = x/10 * 1/x *100

                                                        = 10%

Hope this helps you.

Step-by-step explanation: