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

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:

$\frac{cups\ of\ flour}{loaves\ of \ bread} =\frac{\frac{49}{2}}{7}$

On calculating the fractions:

$\frac{cups\ of\ flour}{loaves\ of \ bread} =\frac{7}{2}$

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

$\frac{f}{b} =\frac{7}{2}$

Using cross multiplication we get:

$2f=7b.$

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