Question

clara wants to paint her bedroom sky blue, so she mixes white and blue paint. then, she decides to mix paint for her living room. to make sure she has enough paint for the larger room, clara plans to use double the amount of white paint and double the amount of blue paint. which room will be a lighter shade of blue? the bedroom will be a lighter shade of blue. the living room will be a lighter shade of blue. neither. the rooms will be the same shade of blue.

Explanation:

Step1: Let the amount of white paint in bedroom be $w$ and blue paint be $b$.

Ratio in bedroom is $\frac{b}{w + b}$.

Step2: In living - room, amount of white paint is $2w$ and blue paint is $2b$.

Ratio in living - room is $\frac{2b}{2w+2b}=\frac{2b}{2(w + b)}=\frac{b}{w + b}$.

Answer:

C. Neither. The rooms will be the same shade of blue.