Final answer:
To maintain the same rate, 1/15 cup of yellow paint is needed.
Step-by-step explanation:
To keep the same rate, we need to maintain the same ratio of yellow to blue. The original ratio was 1/3 cup of yellow to 1/5 cup of blue. Since the new guy put in 1 whole cup of blue, we need to find out how much yellow paint is needed for the same ratio. Let x be the amount of yellow paint needed. We can set up the following proportion:
1/3 / 1/5 = x / 1
Solving this proportion, we get: x = (1/3) * (1/5) = 1/15 cup of yellow paint is needed.