Each child at a school plays either soccer or tennis or both. One seventh of the soccer players also play ten

Question

stumped.

Answer 1

So, you need to find out:

the number of children who play only soccer

the number who play only tennis

the number who play both

the number of children at the school

You can do this easily by putting some real numbers into the problem.

Let's say that there is one child that plays both soccer and tennis.

How many children play soccer?  

(One seventh of the soccer players also plays tennis, there is one soccer player who also plays tennis.)

Seven!

How many children play only soccer?

(Seven play soccer, one plays both, that leaves six.)

That is the first number you need.

So, now you can figure out how many children play tennis, and how many play only tennis.

Next, how many children are there at the school?

That would be

the number who play only soccer (6)

+ the number who play only tennis

+ the number who play both (1).

Now you have all the information you need to find out the fractions.  The total number of children is always the denominator, and the numerators are the other three numbers.