Question

Priya has a recipe for banana bread. She uses 24½ cup of flour to make 7 loaf of bread. Andre will follow the same recipe. He will make b loaves of banana bread using f cups of flours which of these equations represents the relationship between B and f

Answer 1

The relationship between B and f is 2f=7b.

Explanation:

Given:

Priya has a recipe for banana bread. She uses 24½ cup of flour to make 7 loaf of bread.

Andre will follow the same recipe, he will make b loaves of bread using f cups of flours.

Now, to find the relationship between b and f.

Priya uses cups of flour = 24½ cup = 49/2 cups.

She uses loaves of bread = 7.

Andre following the same recipe:

He uses loaves of bread = b.

He uses of cups of flour = f.

Now, to find the relationship between b and f we will find the ratio of flour to the loaves of bread in Priya's recipe:

`(cups\ of\ flour)/(loaves\ of \ bread) =((49)/(2))/(7)`

On calculating the fractions:

`(cups\ of\ flour)/(loaves\ of \ bread) =(7)/(2)`

So, by setting the proportion as Andre is following the same recipe:

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

Using cross multiplication we get:

`2f=7b.`

Therefore, the relationship between B and f is 2f=7b.