### Brain Teasers

# Commuting

In a company:

595 people have driven to work

170 people have taken the train to work

85 people have driven and taken the train to work

170 people live at the company

In total, how many people work at this particular company?

595 people have driven to work

170 people have taken the train to work

85 people have driven and taken the train to work

170 people live at the company

In total, how many people work at this particular company?

### Hint

Don't count the people who drive and take the train as two different people.### Answer

Since 85 people drive and take the train to work, you have to subtract them out of the 595 people who drive to work and the 170 people who take the train to work. This way, you will not double count these people.So, 595-85=510 and 170-85=85

Now, you can treat these people as individuals and add them all together.

510 people drive + 85 people taking the train + 170 living at the company + 85 people who drive and take the train = 850 people in total.

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