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

1 answer

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.