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

Answer:

Students liked to play football are 210 .

Step-by-step explanation:

Formlua

$Percentage = \frac{Part\ value\times 100}{Total\ value}$

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

$34 = \frac{170\times 100}{Total\ value}$

$Total\ value = \frac{17000}{34}$

Total value = 500

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

Putting in the formula

$42 = \frac{Part\ value\times 100}{500}$

$Part\ value= \frac{42\times 500}{100}$

$Part\ value= \frac{21000}{100}$

Part value = 210

Thus

Students liked to play football = 210

Therefore the students liked to play football are 210 .