document.write( "Question 1203879: Last year at East High School, a survey showed that 79 students played soccer or basketball, 30 played soccer, and 14 played both.\r
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document.write( "How many of the students played basketball?\r
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document.write( "i know the answer is 63 due to getting the problem incorrect but how would i go ahead and solve this problem? \n" );
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Algebra.Com's Answer #839758 by ikleyn(52782)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "30 played S\r\n" ); document.write( "\r\n" ); document.write( "14 played both\r\n" ); document.write( "\r\n" ); document.write( "79 played S or B\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "For the union of two sets, S (soccer) and B (basketball), we write\r\n" ); document.write( "\r\n" ); document.write( " n(S U B) = n(S) + n(B) - n(S and B)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "and substitute there given quantities\r\n" ); document.write( "\r\n" ); document.write( " 79 = 30 + n(B) - 14.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "From this equation, we find the unknown amount\r\n" ); document.write( "\r\n" ); document.write( " n(B) = 79 -30 + 14 = 63.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Thus the answer is: 63 students play basketball.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved, with explanations.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To see many other similar solved problems, look into the lesson\r \n" ); document.write( "\n" ); document.write( " - Counting elements in sub-sets of a given finite set\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Learn the subject (the basics) from there.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |