MHB Venn Diagram Problem: Tipping Survey Results

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The hotel survey revealed that 2560 guests were questioned about their tipping habits. A total of 1785 guests tipped wait staff, 1219 tipped luggage handlers, and 831 tipped maids. The results showed that 245 guests tipped all three services, while 210 guests did not tip any. To determine how many guests tipped exactly two services, a three-way Venn diagram can be used to visualize the overlaps among the groups. This analysis helps clarify the tipping patterns among the surveyed guests.
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The hotel conducted a survey. It found that of the 2560 guests who were surveyed,
1785 tip the wait staff
1219 tip the luggage handlers
831 tip the maids
275 tip only the maids and the luggage handlers
700 tip only the wait staff and the maids
755 only tip the wait staff and the luggage handlers
245 tip all three services
210 do not tip these services

How many of the guests tipped:
a. Exactly two of the three services?Only the wait staff?Only one of the three services?
 
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smith8 said:
The hotel conducted a survey. It found that of the 2560 guests who were surveyed,
1785 tip the wait staff
1219 tip the luggage handlers
831 tip the maids
275 tip only the maids and the luggage handlers
700 tip only the wait staff and the maids
755 only tip the wait staff and the luggage handlers
245 tip all three services
210 do not tip these services

How many of the guests tipped:
a. Exactly two of the three services?Only the wait staff?Only one of the three services?

Draw a three-way Venn diagram.
 

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