Question

There are 150 students in a class. The number of students who play Cricket, Hockey, and Basketball are 125, 130, 135 respectively. If 5 students do not play any of the three games, the number of students playing all the three games must be at least​

Answer 1

Step-by-step explanation:

there are 150 students

and 5 of them not play any game

:. total students play are 145

125+130+135=390players

145 students

390-145=245 players

245÷3 then

at least 81 students play all there games

Answer 2

At least 100 students are playing all the three games.

There are 150 students in a class. The number of students who play Cricket, Hockey, and Basketball are 125, 130, 135 respectively.

If 5 students do not play any of the three games, the number of students playing all the three game must be at least.

There are 150 students in a class. 5 do not play of any three games.

so, number of students playing at least one game = 150 - 5 = 145

• number of students who play Cricket = 125
• number of students who play Hockey = 130
• number of students who play Basketball = 135

so total number of game players = 125 + 130 + 135 = 390.

number of students playing at least one game is 145.

if all students play 1 game then, 145 × 1 = 145 < 390

if all students play 2 games then, 145 × 2 = 290 < 390

if all students play 3 game then, 145 × 3 = 435 > 390.

It is clear that to make 390 game players out of 145, need some 3 game players.

here if we consider all students 2 game players, we can have only 145 × 2 = 290 at most, hence 390 - 290 = 100 , 3 game players out of 145.

Therefore, at least 100 students are playing all the three games.