Question

half of the students of a school play football and one-third of the rest play cricket the remaining 300 students do not play either of the games how many remaining students are there in the school?ans:900​

Answer 1

Answer:

900 students

Step-by-step explanation:

let the total students be x

$students \: who \: play \: football \: = \frac{x}{2}$

$one \: third \: of \: rest \: = \frac{1}{3} \: \times \frac{x}{2} = \frac{x}{6}$

remaining students = 300

ATQ,

$\frac{x}{2} + \frac{x}{6} + 300 = x \\ \frac{3x}{6} + \frac{x}{6} + \frac{300 \times 6}{6} = x \\ \frac{3x + x + 1800}{6} = x \\ \frac{4x + 1800}{6} = x \\ 4x + 1800 = 6x \\ 1800 = 6x - 4x \\ 1800 = 2x \\ \frac{1800}{2} = x \\ 900 = x = total \: no. \: of \: students$