Answer :
To solve the question about ratios in making a quiche, let's look step by step into what an equivalent ratio means.
The original ratio given is 1 tablespoon of butter for every 6 eggs. This sets up the base ratio as [tex]\( \frac{6 \text{ eggs}}{1 \text{ tbsp}} \)[/tex].
To determine which of the given ratios are equivalent to this, here's what we should do:
1. Understand the Base Ratio:
- Original ratio: 6 eggs for 1 tablespoon of butter.
2. Check each given ratio:
- Ratio 1: [tex]\( \frac{12 \text{ eggs}}{2 \text{ tbsp}} \)[/tex]
- Simplify: 12 eggs divided by 2 tbsp = 6 eggs per 1 tbsp.
- Equivalent, because it matches the base ratio.
- Ratio 2: [tex]\( \frac{15 \text{ eggs}}{3 \text{ tbsp}} \)[/tex]
- Simplify: 15 eggs divided by 3 tbsp = 5 eggs per 1 tbsp.
- Not equivalent, because it doesn’t match the base ratio of 6 eggs per 1 tbsp.
- Ratio 3: [tex]\( \frac{24 \text{ eggs}}{4 \text{ tbsp}} \)[/tex]
- Simplify: 24 eggs divided by 4 tbsp = 6 eggs per 1 tbsp.
- Equivalent, because it matches the base ratio.
- Ratio 4: [tex]\( \frac{9 \text{ eggs}}{1.5 \text{ tbsp}} \)[/tex]
- Simplify: 9 eggs divided by 1.5 tbsp = 6 eggs per 1 tbsp.
- Equivalent, because it matches the base ratio.
Based on these calculations, the ratios that are equivalent to 6 eggs per 1 tablespoon 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]
So, the equivalent ratios are options 1, 3, and 4.
The original ratio given is 1 tablespoon of butter for every 6 eggs. This sets up the base ratio as [tex]\( \frac{6 \text{ eggs}}{1 \text{ tbsp}} \)[/tex].
To determine which of the given ratios are equivalent to this, here's what we should do:
1. Understand the Base Ratio:
- Original ratio: 6 eggs for 1 tablespoon of butter.
2. Check each given ratio:
- Ratio 1: [tex]\( \frac{12 \text{ eggs}}{2 \text{ tbsp}} \)[/tex]
- Simplify: 12 eggs divided by 2 tbsp = 6 eggs per 1 tbsp.
- Equivalent, because it matches the base ratio.
- Ratio 2: [tex]\( \frac{15 \text{ eggs}}{3 \text{ tbsp}} \)[/tex]
- Simplify: 15 eggs divided by 3 tbsp = 5 eggs per 1 tbsp.
- Not equivalent, because it doesn’t match the base ratio of 6 eggs per 1 tbsp.
- Ratio 3: [tex]\( \frac{24 \text{ eggs}}{4 \text{ tbsp}} \)[/tex]
- Simplify: 24 eggs divided by 4 tbsp = 6 eggs per 1 tbsp.
- Equivalent, because it matches the base ratio.
- Ratio 4: [tex]\( \frac{9 \text{ eggs}}{1.5 \text{ tbsp}} \)[/tex]
- Simplify: 9 eggs divided by 1.5 tbsp = 6 eggs per 1 tbsp.
- Equivalent, because it matches the base ratio.
Based on these calculations, the ratios that are equivalent to 6 eggs per 1 tablespoon 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]
So, the equivalent ratios are options 1, 3, and 4.
