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]