High School

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.

- [tex]\frac{12 \text{ eggs }}{2 \text{ tbsp }}[/tex]
- [tex]\frac{15 \text{ eggs }}{3 \text{ tbsp }}[/tex]
- [tex]\frac{24 \text{ eggs }}{4 \text{ tbsp }}[/tex]
- [tex]\frac{9 \text{ eggs }}{1.5 \text{ tbsp }}[/tex]

Answer :

The original recipe calls for 1 tablespoon of butter for every 6 eggs. This means the ratio is

[tex]$$
\frac{6 \text{ eggs}}{1 \text{ tbsp}} = 6 \text{ eggs per tbsp}.
$$[/tex]

Now let’s check each option:

1. For [tex]$\frac{12 \text{ eggs}}{2 \text{ tbsp}}$[/tex], we have

[tex]$$
\frac{12}{2} = 6 \text{ eggs per tbsp}.
$$[/tex]

This is equivalent to the original ratio.

2. For [tex]$\frac{15 \text{ eggs}}{3 \text{ tbsp}}$[/tex], we have

[tex]$$
\frac{15}{3} = 5 \text{ eggs per tbsp}.
$$[/tex]

This is not equivalent to 6 eggs per tablespoon.

3. For [tex]$\frac{24 \text{ eggs}}{4 \text{ tbsp}}$[/tex], we have

[tex]$$
\frac{24}{4} = 6 \text{ eggs per tbsp}.
$$[/tex]

This is equivalent to the original ratio.

4. For [tex]$\frac{9 \text{ eggs}}{1.5 \text{ tbsp}}$[/tex], we have

[tex]$$
\frac{9}{1.5} = 6 \text{ eggs per tbsp}.
$$[/tex]

This is also equivalent to the original ratio.

Thus, the ratios equivalent to the given ratio are those in options 1, 3, and 4.