Final answer:
Mary will need approximately 14.14 cups of flour to serve 36 people.
Step-by-step explanation:
To find out how many cups of flour Mary will need, we can set up a proportion using the information given in the problem.
First, let's find the number of cups of flour needed for one serving. We know that it takes 11/2 cups of flour to make 14 servings, so we can set up the proportion:
11/2 cups / 14 servings = x cups / 36 servings
To solve for x, we can cross-multiply and then solve for x:
14 * x = 11/2 * 36
Now, let's solve for x:
14 * x = 396/2
14 * x = 198
x = 198/14
x = 14.14
So, Mary will need approximately 14.14 cups of flour to serve 36 people.