Problem Solving (PS) | At a certain fast food franchise with 120 locations,

@Laila12618Given: At a certain fast food franchise with 120 locations, 90 locations introduced item X, 85 locations introduced item Y, and 72 locations introduced item Z.
Asked: If a and b are respectively the greatest and smallest possible number of locations that introduced all three items, what is the value of a-b?

For a: - 
----------------------------------120-----------------------------------
---------------90------X----------------------
-------------------85-----Y----------------
-----72-------Z-------------------

a = 72

For b: - 
----------------------------------120-----------------------------------
---------------90------X------------------------
                    --------------------------85----------Y----------------
-----35--Z------                           --------------37------Z--------

b = 7

a - b = 72 - 7 = 65

IMO E
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Statistics : Posted by Kinshook • on 14 Feb 2023, 12:12 • Replies 4 • Views 3111

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