to make a quiche, you need 1 tablespoon of butter for every 6 eggs. write a ratio that compares these two…

to make a quiche, you need 1 tablespoon of butter for every 6 eggs. write a ratio that compares these two quantities. which ratios are equivalent to this ratio? check all that apply.\n$\frac{12\text{ eggs}}{2\text{ tbsp}}$\n$\frac{15\text{ eggs}}{3\text{ tbsp}}$\n$\frac{24\text{ eggs}}{4\text{ tbsp}}$\n$\frac{9\text{ eggs}}{1.5\text{ tbsp}}$

to make a quiche, you need 1 tablespoon of butter for every 6 eggs. write a ratio that compares these two quantities. which ratios are equivalent to this ratio? check all that apply.\n$\frac{12\text{ eggs}}{2\text{ tbsp}}$\n$\frac{15\text{ eggs}}{3\text{ tbsp}}$\n$\frac{24\text{ eggs}}{4\text{ tbsp}}$\n$\frac{9\text{ eggs}}{1.5\text{ tbsp}}$

Answer

Explanation:

Step1: Find the original ratio

The ratio of butter to eggs is $\frac{1\text{ tbsp}}{6\text{ eggs}}$.

Step2: Simplify each option

Option 1:

For $\frac{12\text{ eggs}}{2\text{ tbsp}}$, its reciprocal is $\frac{2\text{ tbsp}}{12\text{ eggs}}=\frac{1\text{ tbsp}}{6\text{ eggs}}$.

Option 2:

For $\frac{15\text{ eggs}}{3\text{ tbsp}}$, its reciprocal is $\frac{3\text{ tbsp}}{15\text{ eggs}}=\frac{1\text{ tbsp}}{5\text{ eggs}}$, not equivalent.

Option 3:

For $\frac{24\text{ eggs}}{4\text{ tbsp}}$, its reciprocal is $\frac{4\text{ tbsp}}{24\text{ eggs}}=\frac{1\text{ tbsp}}{6\text{ eggs}}$.

Option 4:

For $\frac{9\text{ eggs}}{1.5\text{ tbsp}}$, its reciprocal is $\frac{1.5\text{ tbsp}}{9\text{ eggs}}=\frac{1\text{ tbsp}}{6\text{ eggs}}$.

Answer:

$\frac{12\text{ eggs}}{2\text{ tbsp}}$, $\frac{24\text{ eggs}}{4\text{ tbsp}}$, $\frac{9\text{ eggs}}{1.5\text{ tbsp}}$