Football or Basketball?
A certain high school offers its students the choice of two sports: football and basketball. One-fifth of the footballers also play basketball, and one-seventh of the basketball players also play football. There are 110 students who practice exactly one of the sports. How many of them practice both sports?
The answer is 11.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
Let x be the no. of students who only practice football y be the no. Of students who only pratice baskteball z be the no. Of students who pratice both
Sol. x+ z = 5z ----> x-4z =0 (1) y + z = 7z ----> y -6z =0 (2) x + y = 110 (3) By some substitution, z=11