Question

Use the information to answer the question.

Information
Katherine is mixing red and yellow paint to make 4 cans of orange paint. She needs 6 quarts of red paint for each can. Katherine has only enough red paint to make 2-thirds of the orange paint she needs.

Question
How many ,begin emphasis,more,end emphasis, quarts of red paint does Katherine need to make all 4 cans of orange paint? Enter the answer in the box.

Response area with 1 text input box
quarts

Answer 1

To find out how many more quarts of red paint Katherine needs to make all 4 cans of orange paint, we can follow these steps:

1. **Calculate the total amount of red paint needed**:
Each can of orange paint requires 6 quarts of red paint. For 4 cans:

\[
\text{Total red paint needed} = 4 \text{ cans} \times 6 \text{ quarts/can} = 24 \text{ quarts}
\]

2. **Determine how much red paint she currently has**:
Katherine can make 2-thirds of the orange paint she needs, which means she has:

\[
\text{Red paint available} = \frac{2}{3} \times 24 \text{ quarts} = 16 \text{ quarts}
\]

3. **Calculate how much more red paint she needs**:
Now we subtract the amount of red paint she currently has from the total amount needed:

\[
\text{More red paint needed} = 24 \text{ quarts} - 16 \text{ quarts} = 8 \text{ quarts}
\]

Therefore, Katherine needs **8 more quarts of red paint** to make all 4 cans of orange paint.

**Response**: 8