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 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 the ratio of flour to eggs

For Batch A: $\frac{f}{e}=\frac{3}{2}$. Check Batch B: $\frac{9}{6}=\frac{3}{2}$, Batch C: $\frac{12}{8}=\frac{3}{2}$. So the ratio is constant.

Step2: Write the equation

From $\frac{f}{e}=\frac{3}{2}$, cross - multiply to get $2f = 3e$, or solve for $f$: $f=\frac{3}{2}e$, or solve for $e$: $e=\frac{2}{3}f$.

Answer:

$f=\frac{3}{2}e$ (or $e = \frac{2}{3}f$ or $2f=3e$)