Carcass wrote:
At a certain company, there are \(\frac{3}{5}\) as many managers as there are directors, and each manager earns \(\frac{4}{3}\) as much money per week as each director does. Last week, what was the ratio of the total amount earned by managers to the total amount earned by directors?
Let, Number of Directors = \(100\)
Then, Number of Managers = \(\frac{3}{5}(100) = 60\)
Let, each Director's earning = \($100\)
Then, each Manager's earning = \(\frac{4}{3}($100) = $133.33\)
Ratio = \(\frac{Managers earning}{Directors earning} = \frac{(60)(133.33)}{(100)(100)} = \frac{8000}{10000} = \frac{8}{10} = \frac{4}{5}\)