In a class of 90 students, children play football, cricket and badminton.55 play cricket,53 play football,35 play badminton.25 play cricket and football,13 play cricket and badminton and 3 play all three sports.How many will get a certificate for only football?
+2666 If we plot the given info in a Venn diagram, it would look like this:
We will first solve for the number of people who only play cricket.
Since we know the total is 55, we can write an equation: \(c + 13 + 3 + 25 = 55\), meaning \(c =14\)
Next, we know that \(b + x + 16 = 35\) and \(f + x + 28 = 53\).
But, knowing that there are 90 students in total, we can write the equation \(b + x + f = 90\).
Now, just solve for f. Hint: Simplify the equations and substitute 1 into another
