Question

Marc mixes blue and yellow paint to make his favorite shade of green, which he'll use to paint his house. He has 14 cans of blue paint and 20 cans of yellow paint when he starts.He wants the same green color every time he mixes, so the amounts of blue and yellow must always be proportional to the original mixtureOn day 1, he mixes 4 cans of blue and 6 cans of yellow.      On day 2, he mixes 6 cans of blue and 9 cans of yellow1. What is the ratio of blue paint to yellow paint in the mixture?  Write the original ratio and the simplified ratio

Answer 1

We have that Marc mixes 4 cans of blue and 6 cans of yellow, and on the second day he mixes 6 cans of blue with 9 cans of yellow, then, we have the following proportion:

$\frac{\text{cans of blue}}{cans\text{ of yellow}}=\frac{4+6}{6+9}=\frac{10}{15}$

then, the ratio of blue paint to yellow paint is:

$\begin{gathered} \frac{10}{15} \\ \text{simplified:} \\ \frac{2}{3} \end{gathered}$