Question

in a class of 40 students, every student plays at least one sport. 25 students play football, 18 play volleyball, 11 play handball, 4 play volleyball and handball, 4 play volleyball, 8 football and handball. how many play all three sports?

Answer 1

Answer:

which grade is this question from ?

have a nice day ahead

take care

Answer 2

let x students play both of the games

let f students play football only

let h students play hockey only

x + f = 35 // all who play football

h + x = 25 // all who play hockey

x + h + f + 10 = 50 // play both + play one + none = total

by adding first two equations and subtracting third one from them

we can directly get x = 20

so its 20 students who play both hockey and football