Question

the table below shows the amount of flour and eggs you need for making different - sized batches of cookies using the same recipe.
cups of flour number of eggs
batch a 3 2
batch b 9 6
batch c 12 8
write an equation to describe the relationship between f, the cups of flour, and e, the number of eggs.
equations may include exact decimals, proper fractions, or improper fractions.
please do not round or use mixed numbers.

Explanation:

Step1: Find flour-to-egg ratio

$\frac{f}{e} = \frac{3}{2}$

Step2: Rearrange to solve for $f$

$f = \frac{3}{2}e$
Or alternatively, solve for $e$:

Step1: Find egg-to-flour ratio

$\frac{e}{f} = \frac{2}{3}$

Step2: Rearrange to solve for $e$

$e = \frac{2}{3}f$

Answer:

$\boldsymbol{f = \frac{3}{2}e}$ or $\boldsymbol{e = \frac{2}{3}f}$