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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 :

To solve this problem, we need to determine which of the given ratios are equivalent to the original ratio of 6 eggs to 1 tablespoon of butter.

### Given:
- Original ratio: 6 eggs per 1 tablespoon of butter

### Check each ratio:

1. Ratio: [tex]\(\frac{12 \text{ eggs}}{2 \text{ tbsp}}\)[/tex]

- Simplify the ratio: [tex]\(\frac{12}{2} = 6\)[/tex]
- This simplifies to 6 eggs per 1 tbsp, which is equivalent to the original ratio.

2. Ratio: [tex]\(\frac{15 \text{ eggs}}{3 \text{ tbsp}}\)[/tex]

- Simplify the ratio: [tex]\(\frac{15}{3} = 5\)[/tex]
- This simplifies to 5 eggs per 1 tbsp, which is not equivalent to the original ratio.

3. Ratio: [tex]\(\frac{24 \text{ eggs}}{4 \text{ tbsp}}\)[/tex]

- Simplify the ratio: [tex]\(\frac{24}{4} = 6\)[/tex]
- This simplifies to 6 eggs per 1 tbsp, which is equivalent to the original ratio.

4. Ratio: [tex]\(\frac{9 \text{ eggs}}{1.5 \text{ tbsp}}\)[/tex]

- Simplify the ratio: [tex]\(\frac{9}{1.5} = 6\)[/tex]
- This simplifies to 6 eggs per 1 tbsp, which is equivalent to the original ratio.

### Conclusion:
The ratios that are equivalent to the original ratio of 6 eggs to 1 tablespoon of butter are:

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

These are the correct ratios that match the original ratio provided for making the quiche.

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Rewritten by : Barada