Cups of Tofu Cups of Sichuan chilis

It seems like you are working with fractions and possibly setting up a ratio or a proportion with cups of tofu and cups of Sichuan chilis. Let's break down the equations step by step.

1. Understanding the equations:

   • You have "3 cups of Tofu" and "4 cups of Sichuan chilis".
   • You are looking for some unknown quantity represented by "?" that likely corresponds to these two quantities in a fractional manner.

2. Setting up the equations:

   • The first equation you wrote down is: \[ 3 \cdot ? = 4 \frac{1}{6} \]
   • To find "?", we can rewrite \( 4 \frac{1}{6} \) as an improper fraction: \[ 4 \frac{1}{6} = \frac{25}{6} \]
   • Now we can set up the equation: \[ 3 \cdot ? = \frac{25}{6} \]
   • To solve for "?", divide both sides by 3: \[ ? = \frac{25}{6} \div 3 = \frac{25}{6} \cdot \frac{1}{3} = \frac{25}{18} \]

3. Further calculations:

   • Next, you have: \[ 4 \frac{1}{6} \div 3 = ? \]
   • Using the same improper fraction for \( 4 \frac{1}{6} \): \[ ? = \frac{25}{6} \div 3 = \frac{25}{6} \cdot \frac{1}{3} = \frac{25}{18} \]
   • So this gives us the same result.

4. The next part:

   • Now looking at: \[ 4 \frac{1}{6} \div \frac{1}{3} = ? \]
   • This can be simplified as: \[ ? = \frac{25}{6} \div \frac{1}{3} = \frac{25}{6} \cdot 3 = \frac{75}{6} = \frac{25}{2} = 12 \frac{1}{2} \]

5. Final Summary:

   • The unknown value (?) in the first part is: \[ \frac{25}{18} \]
   • The result for \( 4 \frac{1}{6} \div 3 \) gives: \[ \frac{25}{18} \]
   • Finally, the result for \( 4 \frac{1}{6} \div \frac{1}{3} \) is: \[ 12 \frac{1}{2} \text{ or } \frac{25}{2} \]

If you provide further context or specific requirements, I will be happy to assist you!