Answer:
The relationship between B and f is 2f=7b.
Step-by-step 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:
[tex]\frac{cups\ of\ flour}{loaves\ of \ bread} =\frac{\frac{49}{2}}{7}[/tex]
On calculating the fractions:
[tex]\frac{cups\ of\ flour}{loaves\ of \ bread} =\frac{7}{2}[/tex]
So, by setting the proportion as Andre is following the same recipe:
[tex]\frac{f}{b} =\frac{7}{2}[/tex]
Using cross multiplication we get:
[tex]2f=7b.[/tex]
Therefore, the relationship between B and f is 2f=7b.
