Question

Clare has a recipe for yellow cake. She uses 9/13 cups of flour to make 4 cakes. Noah will follow the same recipe. He will make c cakes using f cups of flour. Which of these equations represent the relationship between c and f? Highlight the correct answer.

a. c = 16/3f
b. c = 31/6f
c. c = 37/3f
d. c = 73/6f

Answer 1

To find the relationship between c and f, we can set up a proportion using the given information in the problem. The correct equation is c = (31/6)f.

Step-by-step explanation:

To find the relationship between c (number of cakes) and f (cups of flour), we can use the information given in the problem. Clare uses 9/13 cups of flour to make 4 cakes. This means that the amount of flour needed to make one cake is (9/13)/4 = 9/52 cups. Now, we can set up a proportion to find the relationship between c and f:

(9/52) cups per cake = f cups in c cakes

Cross multiplying, we get:

9/52 * c = f

Simplifying, we find that the relationship between c and f is: c = (9/52)f. Therefore, the correct equation is option b. c = (31/6)f.