Question

You just found that 2÷
4
3
​
is 2
3
2
​
. Record this in the table to show how many tablespoons of chocolate powder you’d need for 1 cup of milk in Recipe A.
÷
4
3
​

÷
4
3
​

Recipe A
Milk (cups) Chocolate Powder (tablespoons)
4
3
​
2
1
2÷
4
3
​

= 2·
3
4
​

=
2·4
1·3
=
3
8
​

= 2
3
2
​

Answer 1

To fill out the table regarding the amount of chocolate powder needed for 1 cup of milk in Recipe A, let's go through the given information step by step.

You have established the formula for how many tablespoons of chocolate powder you would need if you have 4/3 cups of milk, which is 2 tablespoons. You also found that:

\[
\frac{2}{\frac{4}{3}} = \frac{2 \cdot 3}{4} = \frac{6}{4} = \frac{3}{2}
\]

This calculation indicates that for 4/3 cups of milk, you need 2 tablespoons of chocolate powder. Now, if the recipe uses 1 cup of milk instead of 4/3 cups, we need to determine the amount of chocolate powder needed for that amount.

### Ratio Calculation:
1. 4/3 cups of milk requires 2 tablespoons of chocolate powder.
2. To find out how much is needed for 1 cup (which is 3/3):

To set up the proportion:
\[
\frac{2 \text{ tablespoons}}{\frac{4}{3} \text{ cups}} = \frac{x \text{ tablespoons}}{1 \text{ cup}}
\]

Cross-multiplying gives us:
\[
2 \cdot 1 = x \cdot \frac{4}{3}
\]
\[
2 = \frac{4x}{3}
\]
Now multiply by 3 to eliminate the fraction:
\[
6 = 4x
\]
Then divide by 4:
\[
x = \frac{6}{4} = \frac{3}{2}
\]

### Conclusion:
For 1 cup of milk, you would need **1.5 tablespoons** of chocolate powder, which can also be expressed as **\( \frac{3}{2} \) tablespoons**.

### Updated Table for Recipe A:
| Milk (cups) | Chocolate Powder (tablespoons) |
|-------------|--------------------------------|
| 4/3 | 2 |
| 1 | \( \frac{3}{2} \) or 1.5 |

So, you would record \( \frac{3}{2} \) tablespoons for 1 cup of milk in the table for Recipe A.