Algebra-1

To determine the amount of cacao needed to make 40 cupcakes while maintaining the same ratio as the original recipe, we can set up a proportion.

In the original recipe, there are 4 cups of cacao for 12 cupcakes. This can be expressed as 4/12.

Let's set up the proportion:

4/12 = x/40

To solve for x, we can cross-multiply:

4 * 40 = 12 * x

160 = 12x

Dividing both sides by 12, we find:

x = 160/12

x ≈ 13.3

Therefore, to make 40 cupcakes while maintaining the same ratio, approximately 13.3 cups of cacao would be needed.

Now let's review the other answer choices:

a. 16: This answer choice does not correspond to the c...