December 3rd, 2011, 12:34 AM  #1 
Newbie Joined: Dec 2011 Posts: 4 Thanks: 0  Sets helps....
In a survey of 120 people, 48 Played basketball , 78 Played Soccer, 66 Played Volleyball, 36 Played any given pair of these sports , 24 Played them all. Find the number of the people that played at least one of the sports.. 
December 3rd, 2011, 12:44 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,540 Thanks: 591  Re: Sets helps....
Set up a Venn diagram.

December 3rd, 2011, 03:32 PM  #3 
Newbie Joined: Dec 2011 Posts: 4 Thanks: 0  Re: Sets helps....
venn diagram is no problem for me...but i still cnt find the actual answer...

December 3rd, 2011, 04:37 PM  #4 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,184 Thanks: 481 Math Focus: Calculus/ODEs  Re: Sets helps....
Let: a = # that play basketball only b = # that play soccer only c = # that play volleyball only x = # that play basketball and soccer y = # that play basketball and volleyball z = # that play soccer and volleyball We are told: x + y + z = 36 a + x + y + 24 = 48 b + x + z + 24 = 78 c + y + z + 24 = 66 Adding, we find: (a + b + c) + 3(x + y + z + 24) = 228 (a + b + c) + (x + y + z + 24) = 228  2(x + y + z + 24) (a + b + c) + (x + y + z) + 24 = 228  2(36 + 24) = 108 This expression represents the number of people who play at least one of the given sports. 
December 3rd, 2011, 05:17 PM  #5  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 407  Re: Sets helps.... Hello, dannyboyz! Quote:
Are you familiar with this formula?  
December 4th, 2011, 05:15 AM  #6 
Newbie Joined: Dec 2011 Posts: 4 Thanks: 0  Re: Sets helps....
thx for the reply..i also find that the answer is 108... I am confuse tat why my tutor say the answer is wrong == 
December 4th, 2011, 09:06 AM  #7 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,184 Thanks: 481 Math Focus: Calculus/ODEs  Re: Sets helps....
How does your tutor work the problem?

December 4th, 2011, 11:07 PM  #8 
Newbie Joined: Dec 2011 Posts: 4 Thanks: 0  Re: Sets helps....
Today i go and ask my tutor again..she said...the answer is not wrong ==


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