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.
[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.
