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

Respuesta :

Answer:

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

Step-by-step explanation:

Given

[tex]7\frac{1}{2}\ cups = 3\ loaves[/tex]

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:

[tex]f\ cups = b\ loaves[/tex]

and

[tex]7\frac{1}{2}\ cups = 3\ loaves[/tex]

Cross Multiply:

[tex]f * 3 = 7\frac{1}{2} * b[/tex]

[tex]3f = 7\frac{1}{2}b[/tex]

Convert fraction to improper numbers

[tex]3f = \frac{15}{2}b[/tex]

Cross Multiply

[tex]2 * 3f = 15b[/tex]

[tex]6f = 15b[/tex]

Divide through by 3

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

Hence, the expression is: [tex]2f =5b[/tex]

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