20% of the children in a sports club play tennis.

25% of the children who play tennis also play rounders.

There are 8 children in the club who play both tennis and rounders.

How many children are there in the sports club altogether?

160 children

Step-by-step explanation:

We can get this solution by working backwards in the equation.

First, we can treat the total number of students who play tennis as 't'. Giving us the equation: 8 =.25 (t). Solving this we get that there are 32 tennis players.

Next, we have to derive the total number of children in the sports club. Setting up 'x' as the total number of children, I get the equation 32 =.2 (x). Which leads us to the solution of 160 children in the sports club.

160 children

Step-by-step explanation:

We can get this solution by working backwards in the equation.

First, we can treat the total number of strudents who play tennis as 't'. Giving us the equation: 8 =.25 (t). Solving this we get that there are 32 tennis players.

Next, we have to derive the total number of children in the sports club. Setting up 'x' as the total number of children, I get the equation 32 =.2 (x). Which leads us to the solution of 160 children in the sports club.