Question

at a concert two fifths of the people were men there were three times as many women as children if their 45 more men than children how many people were at the concert

Answer 1

$x-\ all\ people\\\\ \frac{2}{5}x-\ men\\\\ \frac{2}{5}x-45-\ children\\\\ 3(\frac{2}{5}x-45)-\ women\\\\ x=\frac{2}{5}x+(\frac{2}{5}x-45)+(3(\frac{2}{5}x-45))\ \ \ \ | myltiply\ by\ 5\\\\ 5x=2x+2x-225+6x-675\\\\ 5x=10x-900\ \ \ | subtract\ 10x\\\\ -5x=-900\ \ \ | divide\ by\ -5\\\\ x=180\\\\ There\ were\ 180\ people\ at\ concert.$