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Rainbow Robots Inc. was demonstrating window washing. The big red robot washed one half of all the windows in the building. The green robot washed two thirds of the windo​ws l​eft. The blue robot washed one half of the windo​ws l​eft. Finally the yellow robot washed the last 10 window​s​. How many windows did the robots wash altogether?

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Final answer:

To find out the total number of windows washed by all the robots, we need to add up the number of windows washed by each robot: (X/2) + (X/3) + (X/6) + 10.

Step-by-step explanation:

To find out how many windows the robots washed altogether, we need to add up the number of windows washed by each robot. Let's go step by step:

1. The big red robot washed one half of all the windows in the building. Let's denote the total number of windows in the building as X. The big red robot washed X/2 windows.

2. The green robot washed two thirds of the windows left after the big red robot washed. After the big red robot, X/2 windows were left. So the green robot washed (2/3) * (X/2) = X/3 windows.

3. The blue robot washed one half of the windows left after the green robot washed. After the green robot, X/3 windows were left. So the blue robot washed (1/2) * (X/3) = X/6 windows.

4. Finally, the yellow robot washed the last 10 windows. So the yellow robot washed 10 windows.

To find the total number of windows washed by all the robots, we need to add up the number of windows washed by each robot:
Total number of windows washed = (X/2) + (X/3) + (X/6) + 10

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