Final answer:
Using a ratio and the total number of omelets, it was calculated that the restaurant made 48 three-egg omelets based on the information that twice as many three-egg omelets were made compared to two-egg omelets and the total number of omelets was 72.
Step-by-step explanation:
The question asks us to determine how many three-egg omelets were made based on the given ratio and total number of omelets. We are told that the restaurant made twice as many three-egg omelets as two-egg omelets. If we let x represent the number of two-egg omelets, then the number of three-egg omelets would be 2x. The total number of omelets made, which is 72, can be expressed as the sum of two-egg omelets and three-egg omelets, so we have:
x + 2x = 72
Combining like terms gives us 3x = 72. Dividing both sides of the equation by 3 gives us x = 24. Since x represents the number of two-egg omelets, and there are twice as many three-egg omelets, we simply multiply x by 2 to find the number of three-egg omelets:
2x = 2 × 24 = 48
Thus, the restaurant made 48 three-egg omelettes yesterday.