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. What equation would show the relationship between cake and flour?

Answer 1

`c=(3)/(7)f`

Explanation:

Clare uses
`9(1)/(3)` cups of flour to make 4 cakes.

Noah follows the same recipe so the ratio of the ingredients used will be proportional.

If Noah uses f cups of flour for c cakes,

`(c)/(f) =(4)/(9(1)/(3))`

`(c)/(f) =(4)/((28)/(3))`

`(c)/(f) =(4* 3)/(28)`

`c=(3)/(7)f`

Therefore, relation between cake and flour used is,

`c=(3)/(7)f`