Question

In a group of children one fifth place football one-fourth play Basketball to 5th play cricket and the remaining 30 play other games find the total number of children in group

Answer 1

Answer:

$let \: the \: total \: number \: of \: children \: be \: x \: \\ \frac{1}{5} x = football \\ \frac{1}{4} x = basketball \\ \frac{2}{5} x = cricket \\ 30 = other \: games \\ \frac{1}{5} x + \frac{1}{4} x + \frac{2}{5} x + 30 = x \\ \frac{4x + 5x + 8x}{20} + 30 = x \\ \frac{17x}{20} + 30 = x \\ 30 = x - \frac{17x}{20} \\ 30 = \frac{20x - 17x}{20} \\ 30 \times 20 = 3x \\ 600 \div 3 = x \\ 200 = x$

total number of children are 200