Question

Priya has a recipe for banana bread. She uses 7/12 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

The equation that represents the relationship between the number of loaves of banana bread and the amount of flour used is b = (36/7)f.

Step-by-step explanation:

To find the relationship between the number of loaves of banana bread, b, and the amount of flour used, f, we can use the given information that Priya uses a ratio of 7/12 cups of flour for 3 loaves of bread. We can write this as:

7/12 cups of flour = 3 loaves of bread

To find the relationship between b and f, we can set up a proportion:

b / f = 3 / (7/12)

To simplify this equation, we can multiply both sides by the reciprocal of 7/12, which is 12/7:

b / f = (3 * 12) / 7

Therefore, the correct equation that represents the relationship between b and f is b = (36/7)f (option D).