Final answer:
The restaurant made 48 three-egg omelets.
Step-by-step explanation:
Let's say the number of two-egg omelets made is x. Since the restaurant made twice as many three-egg omelets as two-egg omelets, the number of three-egg omelets made is 2x.
Given that the total number of omelets made is 72, we can set up the equation: x + 2x = 72
Simplifying the equation, we get 3x = 72
Dividing both sides of the equation by 3, we find x = 24. Therefore, the number of three-egg omelets made is 2x = 2(24) = 48.