document.write( "Question 190975: I am stuck on my homework assignment, can someone show me how this is completed? I really appreciate it!
\n" ); document.write( "A drug company is considering manufacturing a new product that has two different flavors, orange and cherry. They surveyed 150 people. The results are as follows:\r
\n" ); document.write( "\n" ); document.write( "75 liked cherry flavor
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\n" ); document.write( "\n" ); document.write( "Construct a Venn diagram and answer the following: \r
\n" ); document.write( "\n" ); document.write( "a) How many liked only orange flavor?
\n" ); document.write( "b) How many liked only cherry flavor?
\n" ); document.write( "c) How many liked either one or the other or both?
\n" ); document.write( "d) How many liked neither?
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Algebra.Com's Answer #143380 by Edwin McCravy(20086)\"\" \"About 
You can put this solution on YOUR website!
Edwin'solution:
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document.write( "First draw a big rectangle to hold all 150 people surveyed:\r\n" );
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document.write( "\"drawing%28300%2C300%2C-4%2C4%2C-5%2C4%2C%0D%0Arectangle%28-4%2C-1.2%2C4%2C4%29+%29\"\r\n" );
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document.write( "Next draw a circle to hold all 75 people who liked\r\n" );
document.write( "cherry and label it C (for \"cherry\"):\r\n" );
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document.write( "Next draw a circle overlapping the first circle to \r\n" );
document.write( "hold all 94 people who liked orange and label\r\n" );
document.write( "it O. \r\n" );
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document.write( "The overlapping part will contain the 22 people who\r\n" );
document.write( "liked both, so we write \"22\" in the region that's shaped\r\n" );
document.write( "like this \" () \", the overlapping region of the two \r\n" );
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document.write( "Now since 75 people liked cherry, and 22 of those 75 are\r\n" );
document.write( "accounted for because they also liked orange. the rest\r\n" );
document.write( "of them, the other 75-22 or 53, are over in the left side of \r\n" );
document.write( "circle C.  So we write 53 in the left part of circle C.\r\n" );
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document.write( "Now since 94 people liked orange, and 22 of those 94 are\r\n" );
document.write( "accounted for because they also liked cherry. the rest\r\n" );
document.write( "of them, the other 94-22 or 72, are over in the right side of \r\n" );
document.write( "circle O.  So we write 72 in the right part of circle O.\r\n" );
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document.write( "Now we have placed 53+22+72 or 147 of the 150 people. So\r\n" );
document.write( "that leaves only 150-147 or 3 people who didn't like cherry\r\n" );
document.write( "or orange.  They go in the rectangle outside both circles.\r\n" );
document.write( "I'll put those 3 people down on the bottom left side of the\r\n" );
document.write( "rectangle outside both circles:\r\n" );
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\n" ); document.write( "a) How many liked only orange flavor?
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document.write( "The 72 which are in the part of circle O which does\r\n" );
document.write( "not overlap circle C.\r\n" );
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\n" ); document.write( "b) How many liked only cherry flavor?
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document.write( "The 53 which are in the part of circle C which does\r\n" );
document.write( "not overlap circle O.\r\n" );
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\n" ); document.write( "c) How many liked either one or the other or both?
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document.write( "There are two ways to figure that:\r\n" );
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document.write( "Either add up the ones that are in either circle\r\n" );
document.write( "or both circles: 53+22+72=147\r\n" );
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document.write( "or the easy way, subtract the 3 that did not like either \r\n" );
document.write( "flavor from the 150 and get 150-3 = 147.  Either way, the \r\n" );
document.write( "answer is the same. \r\n" );
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\n" ); document.write( "d) How many liked neither?
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document.write( "That's just the 3 that are outside both circles.\r\n" );
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document.write( "Edwin
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