Question

Priya has a recipe for banana bread. She uses 7 ½ 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. Which of these equations represents the relationship between b and f ? A. b=2/9 f B. b=2/5 f C. b=5/2 f D. b=9/2 f

Answer 1

Answer:

Option B)

$b = \dfrac{2}{5}f$  

Step-by-step explanation:

We are given the following in the question:

Priya uses $7\frac{1}{2}$ cups of flour to make 3 loaves of banana bread.

Thus, we can write the ration of bread to  amount of flour used as:

$\text{Ratio} = \dfrac{3}{7\frac{1}{2}} = \dfrac{3}{\frac{15}{2}} = \dfrac{6}{15}$

Now, b loaves of banana bread using f cups of flour.

This measurement will follow the same ratio.

Thus, we can write:

$\dfrac{b}{f} = \dfrac{6}{15}\\\\b = \dfrac{2}{5}f$

Thus, the correct answer is

Option B)

$b = \dfrac{2}{5}f$