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Answer :
To solve this problem, we need to compare the given ratios to the ratio provided for making a quiche, which specifies that you need 1 tablespoon of butter for every 6 eggs. This ratio in terms of eggs and tablespoons is 6 eggs for 1 tablespoon, or simply [tex]\( \frac{6 \text{ eggs}}{1 \text{ tbsp}} \)[/tex].
Now, let's evaluate the given options to see if they are equivalent to this original ratio:
1. Option 1: [tex]\( \frac{2 \text{ eggs}}{2 \text{ tbsp}} \)[/tex]
- Simplifying this ratio, we get [tex]\( \frac{1 \text{ egg}}{1 \text{ tbsp}} \)[/tex].
- This is not equivalent to [tex]\( \frac{6 \text{ eggs}}{1 \text{ tbsp}} \)[/tex].
2. Option 2: [tex]\( \frac{15 \text{ eggs}}{3 \text{ tbsp}} \)[/tex]
- Simplifying this ratio, we get [tex]\( \frac{5 \text{ eggs}}{1 \text{ tbsp}} \)[/tex].
- This is not equivalent to [tex]\( \frac{6 \text{ eggs}}{1 \text{ tbsp}} \)[/tex].
3. Option 3: [tex]\( \frac{24 \text{ eggs}}{4 \text{ tbsp}} \)[/tex]
- Simplifying this ratio, we get [tex]\( \frac{6 \text{ eggs}}{1 \text{ tbsp}} \)[/tex].
- This is equivalent to the original ratio of [tex]\( \frac{6 \text{ eggs}}{1 \text{ tbsp}} \)[/tex].
4. Option 4: [tex]\( \frac{9 \text{ eggs}}{1.5 \text{ tbsp}} \)[/tex]
- Simplifying this ratio, we divide both the numerator and denominator by 1.5, resulting in [tex]\( \frac{6 \text{ eggs}}{1 \text{ tbsp}} \)[/tex].
- This is equivalent to the original ratio of [tex]\( \frac{6 \text{ eggs}}{1 \text{ tbsp}} \)[/tex].
Based on the comparisons, the ratios equivalent to the original [tex]\( \frac{6 \text{ eggs}}{1 \text{ tbsp}} \)[/tex] are found in Options 3 and 4.
Now, let's evaluate the given options to see if they are equivalent to this original ratio:
1. Option 1: [tex]\( \frac{2 \text{ eggs}}{2 \text{ tbsp}} \)[/tex]
- Simplifying this ratio, we get [tex]\( \frac{1 \text{ egg}}{1 \text{ tbsp}} \)[/tex].
- This is not equivalent to [tex]\( \frac{6 \text{ eggs}}{1 \text{ tbsp}} \)[/tex].
2. Option 2: [tex]\( \frac{15 \text{ eggs}}{3 \text{ tbsp}} \)[/tex]
- Simplifying this ratio, we get [tex]\( \frac{5 \text{ eggs}}{1 \text{ tbsp}} \)[/tex].
- This is not equivalent to [tex]\( \frac{6 \text{ eggs}}{1 \text{ tbsp}} \)[/tex].
3. Option 3: [tex]\( \frac{24 \text{ eggs}}{4 \text{ tbsp}} \)[/tex]
- Simplifying this ratio, we get [tex]\( \frac{6 \text{ eggs}}{1 \text{ tbsp}} \)[/tex].
- This is equivalent to the original ratio of [tex]\( \frac{6 \text{ eggs}}{1 \text{ tbsp}} \)[/tex].
4. Option 4: [tex]\( \frac{9 \text{ eggs}}{1.5 \text{ tbsp}} \)[/tex]
- Simplifying this ratio, we divide both the numerator and denominator by 1.5, resulting in [tex]\( \frac{6 \text{ eggs}}{1 \text{ tbsp}} \)[/tex].
- This is equivalent to the original ratio of [tex]\( \frac{6 \text{ eggs}}{1 \text{ tbsp}} \)[/tex].
Based on the comparisons, the ratios equivalent to the original [tex]\( \frac{6 \text{ eggs}}{1 \text{ tbsp}} \)[/tex] are found in Options 3 and 4.
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