Final answer:
Kelly can make 9 1/3 servings of cake.
Step-by-step explanation:
To find out how many servings of cake Kelly can make, we need to compare the amount of sugar required for one serving to the amount of sugar Kelly has. We can set up a proportion to solve for the number of servings.
Let's set up the proportion:
1/4 cup of sugar / 3 servings = 2 1/3 cups of sugar / x servings
To solve for x, we can cross multiply:
(1/4) * x = (2 1/3) * 3
Converting 2 1/3 to an improper fraction: 2 1/3 = (2 * 3 + 1) / 3 = 7/3
Simplifying the equation:
(1/4) * x = (7/3) * 3
Now, we can solve for x:
x = (7/3) * (4/1) = 28/3
So, Kelly can make 28/3 or 9 1/3 servings of cake.