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.
### 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.
