Marcus mixes 5 parts white paint with 2 parts red paint to make pink. Suppose he adds one part of each. What is the new ratio of red to white?

Question

to

Answer 1

Initially, Marcus has a mixture of 5 parts white paint and 2 parts red paint, creating a ratio of red to white as follows:

• Red: 2 parts
• White: 5 parts

To find the original ratio of red to white, we express it as:

\[ \text{Ratio of Red to White} = \frac{\text{Red}}{\text{White}} = \frac{2}{5} \]

Next, Marcus adds one part of each color:

• New amount of red paint: \(2 + 1 = 3\) parts
• New amount of white paint: \(5 + 1 = 6\) parts

Now, we have:

• Red: 3 parts
• White: 6 parts

To find the new ratio of red to white, we calculate:

\[ \text{New Ratio of Red to White} = \frac{3}{6} = \frac{1}{2} \]

Thus, the new ratio of red to white is:

\[ \text{Ratio of Red to White} = 1 : 2 \]