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

Option B)

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

Explanation:

We are given the following in the question:

Priya uses
`7(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} = (3)/(7(1)/(2)) = (3)/((15)/(2)) = (6)/(15)`

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

This measurement will follow the same ratio.

Thus, we can write:

`(b)/(f) = (6)/(15)\\\\b = (2)/(5)f`

Thus, the correct answer is

Option B)

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