Question

Priya has a recipe for banana bread. She uses 712 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? Group of answer choices

Answer 1

`2f =5b`

Explanation:

Given

`7(1)/(2)\ cups = 3\ loaves`

Required

Determine the relationship between b loaves and f cups

The question shows that the relationships between cups of flour and loaves of bread is direct proportional.

So, we have:

`f\ cups = b\ loaves`

and

`7(1)/(2)\ cups = 3\ loaves`

Cross Multiply:

`f * 3 = 7(1)/(2) * b`

`3f = 7(1)/(2)b`

Convert fraction to improper numbers

`3f = (15)/(2)b`

Cross Multiply

`2 * 3f = 15b`

`6f = 15b`

Divide through by 3

`2f =5b`

Hence, the expression is:
`2f =5b`