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?

Respuesta :

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

[tex]\begin{gathered} 7\frac{1}{2}\colon3=f\colon b \\ \frac{7\frac{1}{2}}{3}=\frac{f}{b} \end{gathered}[/tex]

By using the cross multiplication

[tex]\begin{gathered} 7\frac{1}{2}\times b=f\times3 \\ 7.5b=3f \end{gathered}[/tex]

Divide both sides by 7.5

[tex]\begin{gathered} \frac{7.5b}{7.5}=\frac{3f}{7.5} \\ b=\frac{2}{5}f \end{gathered}[/tex]

The equation which represents the relation between b and f is

[tex]b=\frac{2}{5}f[/tex]