Recipe A calls for 2 tablespoons of chocolate powder for every

4
3

of a cup of milk. Recipe B calls for 3 tablespoons of chocolate powder for every
6
5

of a cup of milk. Which chocolate milk recipe tastes more chocolatey?
To finish finding the amount of chocolate powder you would need for 1 cup of milk in Recipe A, rename
3
8

as a mixed number.
÷
4
3


÷
4
3


Recipe A
Milk (cups) Chocolate Powder (tablespoons)
4
3

2
1 ?

4
3


= 2·
3
4


=
2·4
1·3
=
3
8


=

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
5 hours ago

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.