1.

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»

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


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