To determine which recipe tastes more chocolatey, we need to compare the ratio of chocolate powder to milk for both recipes and then complete the calculations for Recipe A.
### Recipe A:
- **Chocolate Powder**: 2 tablespoons
- **Milk**: \( \frac{4}{3} \) cups
To find out how much chocolate powder is needed for 1 cup of milk in Recipe A, we set up the ratio:
1. Set up the ratio of chocolate powder to milk:
\[
\text{Ratio (chocolate powder per cup)} = \frac{2 \text{ tablespoons}}{\frac{4}{3} \text{ cups}}
\]
2. To divide by a fraction, multiply by its reciprocal:
\[
\frac{2}{\frac{4}{3}} = 2 \cdot \frac{3}{4} = \frac{6}{4} = \frac{3}{2}
\]
So, Recipe A requires \( \frac{3}{2} \) tablespoons of chocolate powder for every 1 cup of milk.
### Recipe B:
- **Chocolate Powder**: 3 tablespoons
- **Milk**: \( \frac{6}{5} \) cups
To find out how much chocolate powder is needed for 1 cup of milk in Recipe B, we set up the ratio:
1. Set up the ratio of chocolate powder to milk:
\[
\text{Ratio (chocolate powder per cup)} = \frac{3 \text{ tablespoons}}{\frac{6}{5} \text{ cups}}
\]
2. To divide by a fraction, multiply by its reciprocal:
\[
\frac{3}{\frac{6}{5}} = 3 \cdot \frac{5}{6} = \frac{15}{6} = \frac{5}{2}
\]
So, Recipe B requires \( \frac{5}{2} \) tablespoons of chocolate powder for every 1 cup of milk.
### Comparison:
- **Recipe : \( \frac{3}{2} \) tablespoons for 1 cup of milk = 1.5 tablespoons per cup
- **Recipe B**: \( \frac{5}{2} \) tablespoons for 1 cup of milk = 2.5 tablespoons per cup
### Conclusion:
Recipe B has more chocolate powder per cup of milk than Recipe A. Therefore, **Recipe B** tastes more chocolatey.