The workers in a factory produce widgets and whoosits. For each product, production time is constant and identical for all workers, but not necessarily equal for the two products. In one hour, \(100\) workers can produce \(300\) widgets and \(200\) whoosits. In two hours, \(60\) workers can produce \(240\) widgets and \(300\) whoosits. In three hours, \(50\) workers can produce \(150\) widgets and \(m\) whoosits. Find \(m\).

(第二十五届AIME2 2007 第4题)