Mixture X uses 3 cups of milk for 4 tablespoons of chocolate powder.

Question

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

Answer 1

To find the unit rate of chocolate powder for every cup of milk in Mixture X, we need to convert the amounts given from the original ratio:

Given:

• 3 cups of milk for 4 tablespoons of chocolate powder.

To find the unit rate, we can divide the amount of chocolate powder by the amount of milk:

\[ \text{Unit Rate (tablespoons of chocolate per cup of milk)} = \frac{\text{chocolate powder}}{\text{milk}} = \frac{4 \text{ tablespoons}}{3 \text{ cups}} \]

Now, we can multiply by \(3\) to find the ratio for one cup of milk:

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

To get a numerical value,

\[ \frac{4}{3} \approx 1.33 \text{ tablespoons of chocolate powder per cup of milk} \]

So, the amount of chocolate powder for every cup of milk in Mixture X is approximately \(1.33\) tablespoons.