Question

ian is making key lime pies for the school fair. for every 3 egg yolks, he uses 4 tablespoons of key lime zest. complete parts a and b below
a. complete the table to find equivalent ratios.
\

$$\begin{tabular}{|c|c|} \\hline egg yolks & lime zest (tbsp) \\\\ \\hline 3 & 4 \\\\ \\hline & 8 \\\\ \\hline & 12 \\\\ \\hline & 16 \\\\ \\hline \\end{tabular}$$

(type whole numbers)

Explanation:

Step1: Find the ratio multiplier

The ratio of egg yolks to lime zest is \(3:4\). Let the number of egg yolks for lime zest \(8\) be \(x\). We set up the proportion \(\frac{3}{4}=\frac{x}{8}\). Cross - multiplying gives \(4x = 3\times8=24\), so \(x=\frac{24}{4} = 6\).

Step2: For lime zest 12

Let the number of egg yolks be \(y\). The proportion is \(\frac{3}{4}=\frac{y}{12}\). Cross - multiplying gives \(4y=3\times12 = 36\), so \(y = \frac{36}{4}=9\).

Step3: For lime zest 16

Let the number of egg yolks be \(z\). The proportion is \(\frac{3}{4}=\frac{z}{16}\). Cross - multiplying gives \(4z=3\times16 = 48\), so \(z=\frac{48}{4}=12\).

Answer:

The completed table is:

Egg Yolks	3	6	9	12