KöMaL 2008 C926

A lecture hall has 24 lamps. Each lamp may operate 4 light bulbs at most. When the maintenance staff has installed four bulbs in some of the lamps, it became clear that the number of bulbs available was not enough. Then they continued with three bulbs per lamp, then two bulbs per lamp, and finished the job with one bulb per lamp. How many bulbs were missing if there were twice as many lamps with one bulb as with four bulbs, and there remained no bulbs at all for half as many lamps as those with three bulbs?