Question

justin wants his new treehouse to blend in with the leaves, so he decides to paint it green. he mixes some white paint and green paint, but he only has enough to paint the roof. he knows hell need a lot more paint for the walls, so he mixes triple the amount of white paint and triple the amount of green paint in his next batch. which part of the treehouse will be a lighter shade of green? the roof will be a lighter shade of green. the walls will be a lighter shade of green. neither. the roof and walls will be the same shade of green.

Explanation:

Step1: Consider paint - mixing ratio concept

When both white and green paint amounts are tripled, the ratio of white to green paint remains the same.
Let the initial amounts of white and green paint be $w_1$ and $g_1$, and the new amounts be $w_2 = 3w_1$ and $g_2=3g_1$. The ratio of white to green in the first batch is $\frac{w_1}{g_1}$, and in the second batch is $\frac{w_2}{g_2}=\frac{3w_1}{3g_1}=\frac{w_1}{g_1}$.

Step2: Determine shade of green

Since the ratio of white to green paint is the same for both the paint for the roof and the paint for the walls, the shade of green will be the same.

Answer:

Neither. The roof and walls will be the same shade of green.