Question

Priya has a recipe for Banana bread. She uses 7 1/2 cups of flour to make 3 loaves of Banana bread. Andre will follow the same recipe. he will make b loaves of Banana bread using f cups of flour. Complete the table and identify the equation that represents the relationship between b and f?

Answer 1

Since in the given recipe

7 1/2 cups of flour make 3 loaves of bread

We need to find the relation between f cups of flour to make b loaves of bread

`\begin{gathered} 7(1)/(2)\colon3=f\colon b \\ (7(1)/(2))/(3)=(f)/(b) \end{gathered}`

By using the cross multiplication

`\begin{gathered} 7(1)/(2)* b=f*3 \\ 7.5b=3f \end{gathered}`

Divide both sides by 7.5

`\begin{gathered} (7.5b)/(7.5)=(3f)/(7.5) \\ b=(2)/(5)f \end{gathered}`

The equation which represents the relation between b and f is

`b=(2)/(5)f`