Question

In a factory, 5/8 of the worker are women there are 240 men .find the number of people working in the factory.​

Answer 1

Answer:

$men = 240 \\ no \: of \: women = \frac{5}{8} \times total \: people \\ if \: women \: covers \: \frac{5}{8} of \: total \: \\ number \: then \: men \: covers \: \frac{3}{8} of \: total \\ no \: of \: people \:in \: the \: factory \: because \: \\ no \: of \: men \: + no \: of \: women = 1 \\ m + \frac{3}{8} = 1 \\ m = 1 - \frac{5}{8} \\ m = \frac{3}{8} \\ let \: the \: number \: of \: people \: be \: x \\ \frac{3}{8} of \: x = 240 \\ \frac{3}{8} \times x = 240 \\ x = 240 \times \frac{3}{8} \\ x = 80 \times 80 \\ x = 640$