Final answer:
The rainbow robots washed a total of 25 windows.
Step-by-step explanation:
To find the total number of windows washed by the rainbow robots, we need to calculate the number of windows washed by each robot and then add them together.
- The big red robot washed half of the windows, so it washed 1/2 of the total number of windows.
- The green robot washed two-thirds of the remaining windows, which is equal to 2/3 times the other half (1/2) of the total number of windows.
- The blue robot washed one-half of the remaining windows, which is equal to 1/2 times the remaining windows after the red and green robots washed.
- Finally, the yellow robot washed the last 10 windows.
To find the total number of windows, we add up the number of windows washed by each robot: 1/2 + (2/3)*(1/2) + (1/2)*(1/2) + 10 = 25 windows.
Therefore, the rainbow robots washed a total of 25 windows.