Question

Mixture X uses 3 cups of milk for 4 tablespoons of chocolate powder.
Multiply 4 tablespoons of chocolate powder by
3
1
​
to find the unit rate, or the amount of chocolate powder for every cup of milk.
Bottle of chocolate milk labeled Mixture X
×
3
1
​

×
3
1
​

Milk
(Cups) Chocolate Powder
(Tablespoons)
3 4
1
and=swer in fraction form

Answer 1

To find the unit rate of chocolate powder per cup of milk in Mixture X, we start with the original ratio of chocolate powder to milk:

- **Chocolate Powder:** 4 tablespoons
- **Milk:** 3 cups

We need to find how much chocolate powder is used for 1 cup of milk. To do this, we can divide the amount of chocolate powder by the amount of milk. Since we are looking for the rate per 1 cup, we can set up the following calculation:

\[
\frac{4 \text{ tablespoons}}{3 \text{ cups}} = \frac{4}{3} \text{ tablespoons per cup}
\]

Now, we multiply by the factor of \(\frac{3}{1}\) to convert it into a unit rate:

\[
\frac{4 \text{ tablespoons}}{3 \text{ cups}} \times \frac{3}{1} = \frac{4 \times 3}{3} = \frac{4}{1}
\]

Thus, the unit rate is:

\[
\frac{4}{3} \text{ tablespoons of chocolate powder per cup of milk}
\]

This is the final answer in fraction form.