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
answer in fraction form

Answer 1

To find the unit rate of chocolate powder for every cup of milk in Mixture X, we need to multiply the amount of chocolate powder (4 tablespoons) by \(\frac{3}{1}\), which essentially helps us determine how much chocolate powder corresponds to each cup of milk.

Given:
- 3 cups of milk use 4 tablespoons of chocolate powder.

We want to find the amount of chocolate powder used per 1 cup of milk.

Since 3 cups of milk correspond to 4 tablespoons of chocolate powder, we can find the unit rate by dividing the number of tablespoons by the number of cups:

\[
\text{Unit rate (tablespoons per cup)} = \frac{4 \text{ tablespoons}}{3 \text{ cups}} = \frac{4}{3} \text{ tablespoons per cup}
\]

So, the unit rate or the amount of chocolate powder per cup of milk is:

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