Question

In a school, 42% of the students liked to play football and 24% liked to play tennis. The rest of the students choose swimming If 170 students choose swimming, how many students liked to play football?

Answer 1

Students liked to play football are 210 .

Explanation:

Formlua

`Percentage = (Part\ value* 100)/(Total\ value)`

As given

In a school, 42% of the students liked to play football and 24% liked to play tennis.

As the percentage is always 100% .

Percentage of students choose swimming = ( 100 - 42 - 24) %

= (100 - 66) %

= 34 %

The rest of the students choose swimming If 170 students choose swimming .

Part value = 170

Percentage = 34 %

Putting all the values in the formula

`34 = (170* 100)/(Total\ value)`

`Total\ value = (17000)/(34)`

Total value = 500

As the percentage for students liked to play football = 42%

Putting in the formula

`42 = (Part\ value* 100)/(500)`

`Part\ value= (42* 500)/(100)`

`Part\ value= (21000)/(100)`

Part value = 210

Thus

Students liked to play football = 210

Therefore the students liked to play football are 210 .