Question

A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint.
How many cups of red paint should be added to 1 cup of white paint?
1
3
7
7
3
​

Answer 1

To find out how many cups of red paint should be added to 1 cup of white paint, we first need to determine the ratio of red paint to white paint in the original mixture.

We are given the original mixture:
- 3 cups of red paint
- 7 cups of white paint

The ratio of red to white paint is:
\[
\text{Ratio of red to white} = \frac{3 \text{ cups of red}}{7 \text{ cups of white}}
\]

Now, we want to find out how many cups of red paint (\(x\)) should be added to 1 cup of white paint. We can set up the ratio as follows:
\[
\frac{x \text{ cups of red}}{1 \text{ cup of white}} = \frac{3}{7}
\]

To solve for \(x\), we cross-multiply:
\[
x \cdot 7 = 3 \cdot 1
\]
\[
7x = 3
\]
\[
x = \frac{3}{7}
\]

Therefore, to create the same shade of pink with 1 cup of white paint, you should add \(\frac{3}{7}\) cups of red paint.