6. Andre makes green paint by mixing 5 cups of yellow paint with 2 cups of blue paint. a. To make the same shade of green, how much yellow paint does Andre need if he uses 8 cups of blue paint?

To maintain the same shade of green, we can use a ratio based on Andre's original recipe. In the original mix, the ratio of yellow to blue is 5:2. If Andre uses 8 cups of blue paint, he can set up a proportion to find the required amount of yellow paint: \( \frac{5}{2} = \frac{x}{8} \), where \( x \) is the amount of yellow needed. Solving for \( x \) gives Andre 20 cups of yellow paint. So, for 8 cups of blue paint, Andre would need 20 cups of yellow to achieve that same shade of green! Mixing it just right is like a painter's secret—keep those colors harmonious!