Answer
The 100 W bulb draws more current. The 75 W bulb has more resistance.
Work Step by Step
Assuming that both lightbulbs are used at the same voltage, the power equation P = IV shows that the higher-power 100 W bulb draws more current.
Using the power equation $P=\frac{V^{2}}{R}$, we see that the lower-power 75 W bulb has a higher resistance, which makes sense because it draws less current.