Priya has a recipe for banana bread. She uses 7 1/2 cups of flour to make 3 loaves of bread. Andre will follow the same recipe. He will make b loaves of bread using f cups of flour. What is the relationship between b and f?

Respuesta :

Answer:

[tex]2f=5b[/tex]

Step-by-step explanation:

We are given that

Priya uses flour to make 3 loaves of bread=[tex]7\frac{1}{2}=\frac{15}{2}[/tex] cups

Andre uses b loaves of bread using flour=f cups

We have to find the relationship between b and f.

When both recipes are same then ratio of flour to the loaves of bread remains same in both recipes.

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{flour}{loaves\;of\;bread}=\frac{\frac{15}{2}}{3}=\frac{5}{2}[/tex]

Therefore, ratio of flour to the loaves of bread in Andre's recipe

[tex]\frac{f}{b}=\frac{5}{2}[/tex]

[tex]f=\frac{5}{2}b[/tex]

[tex]2f=5b[/tex]

This is required relationship between b and f.

The relationship between [tex]b[/tex] and [tex]f[/tex] will be [tex]2f=5b[/tex], if Andre is using the same recipe as used by Priya.

Given information:

Priya has a recipe for banana bread.

flour used to make 3 loaves of bread = 15/2 cups

Andre uses [tex]b[/tex] loaves of bread using [tex]f[/tex] cups of flour in his recipe.

We have , both the recipe in same quantity

according to the question one can write the ratio of Flour to Loaves of bread as:

[tex]\frac{\text{flour}}{\text{loaves of bread}} =(15/2)/3=5/2[/tex]

Therefore, ratio of flour to loaves of bread in Andre's recipe is given as:

[tex]f/b=5/2\\f=(5/2)b\\2f=5b\\[/tex]

Hence, the relationship between [tex]b[/tex] and [tex]f[/tex] will be [tex]2f=5b[/tex], if Andre is using the same recipe as used by Priya.

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