a group of 42 children all play tennis or football or both sports, the same number play tennis as play just football, twice as many play both tennis and football as play just tennis, how many children play football (answers 7,14,21,28,35)

 Football = 35 children

Step-by-step explanation:

I created a Venn diagram and labeled it as follows:

Tennis only = x

Both Tennis & Football = y

Football only = x + y    

Total children = x + y + x + y

                42 = 2x + 2y

We are also given that y = 2x (twice as many play both tennis & football as just play tennis)

Now we have two equations and can use substitution to solve for x & y:

42 = 2x + 2y

 y = 2x

                      42 = (y) + 2y

                      42 = 3y

                      14 = y

Now let's find x:

y = 2x

14 = 2x

7  = x

We are asked to find how many children play football.

                       Football = x + y        

Both Tennis & Football =    y    

             Total Football =  x + 2y

                                    = 7 + 2(14)

                                    = 7 + 28

                                   = 35

lo.lll

step-by-step explanation:

step-by-step explanation:

and 90% of people marry there 7th grade love. since u have read this, u will be told good news 2night. if u don't pass this on nine comments ur worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of ur life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u

read more on -