If it takes 50 eggs to bake 90 cakes using a large comercial barkery's recipe. Using the same recipe, how many eggs will be needed to bake 400 cakes.

I came up with 222 eggs is that correct?

Yes. You're right.

To find out how many eggs are needed to bake 400 cakes using the same recipe, we can use a proportion.

First, we need to determine the eggs-to-cakes ratio based on the information given. We know that it takes 50 eggs to bake 90 cakes. In a proportion, this can be expressed as:

50 eggs / 90 cakes = x eggs / 400 cakes

To solve for x, we can cross-multiply:

90 * x = 50 * 400

x = (50 * 400) / 90

x ≈ 222.22

Therefore, based on the calculation, you are correct. Approximately 222 eggs would be needed to bake 400 cakes using the same recipe.