Question

Susie uses between 3/1/4 and 3/3/4 cups of flour when making a cake with 5 servings. If she uses 42 cups of flour to make a cake, which following is a reasonable number of servings that can be made?

A. 60
B. 70
C. 65
D. 50

Answer 1

Using the average amount of flour required for 5 servings, we find that there are approximately 1.428 servings per cup of flour. Multiplying this by the total amount of flour (42 cups), we get approximately 59.976 servings, which rounds up to 60 servings, making option A the correct answer.

Step-by-step explanation:

To determine a reasonable number of servings that can be made with 42 cups of flour, first, we need to find out how many servings one cup can yield.

Since Susie uses between 3 1/4 and 3 3/4 cups for 5 servings, we will average this range:

(3 1/4 cups + 3 3/4 cups) / 2 = (13/4 cups + 15/4 cups) / 2 = (28/4 cups) / 2 = 7 cups / 2 = 3.5 cups per 5 servings.

Now, find the number of servings per cup:

5 servings / 3.5 cups = 1.428 servings per cup

Then, multiply the number of servings per cup by the total cups of flour used:

1.428 servings per cup x 42 cups = 59.976 servings, which we round up to the nearest whole serving, giving us 60 servings as the reasonable answer.

Therefore, the correct answer is A. 60 servings.