A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint.

Question

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.