Question

Clare has a recipe for yellow cake. She uses 9 1/3 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?

Answer 1

Answer:

Relationship between c and f is 7c - 3f = 0

Step-by-step explanation:

Since Clare has to use 9 cups each of them having 1/3 part filled with flour for making of 4 cakes.

$\textrm{Implies that 4 cakes require}\dfrac{28}{3}\textrm{cups of flour}$

$\textrm{So 1 cake will require }\dfrac{28}{4\times3} \textrm{cups of flour}$

$\textrm{And c cakes will require }\dfrac{28c}{12} \textrm{cups of flour}$

Hence according to question

$\dfrac{28c}{12} \textrm{= f}$

⇒  28c = 12f

⇒ 7c = 3f

⇒ 7c - 3f = 0 is required equation.