SOLUTION: Of 100 employees of a store located in downtown Boston, 36 people take the subway to work, 24 take the bus, and 14 people take both the subway and the bus. How many employees
(a
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Question 959066: Of 100 employees of a store located in downtown Boston, 36 people take the subway to work, 24 take the bus, and 14 people take both the subway and the bus. How many employees
(a) Take the subway or the bus to work?
(b) Take only the bus to work?
(c) Take either the bus or the subway to work (but not both)?
(d) Get to work by some other means?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Of 100 employees of a store located in downtown Boston, 36 people take the subway to work, 24 take the bus, and 14 people take both the subway and the bus.
Draw a Venn Diagram with 2 intersecting circles inside a rectangle.
Label the rectangle "100"
Put "14" in the intersection of the 2 circles
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How many employees
(a) Take the subway or the bus to work?:: 36+24-14 = 46
------------------------------------------
(b) Take only the bus to work?:: 24-14 = 10
------------------------
(c) Take either the bus or the subway to work (but not both)?
24-14 + 36-14 = 10+22 = 32
-----------------------------------
(d) Get to work by some other means?:: 100 - {10+14+22] = 54
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Cheers,
Stan H.
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