document.write( "Question 1183902: Solved the following using Venn diagram
\n" ); document.write( "A group of 35 students performed in a school program. out of the 35,18 sang,19,danced, and 7 sang and danced \r
\n" ); document.write( "\n" ); document.write( "a. How many students sang only?
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\n" ); document.write( "c. How many nether sang nor danced? \n" ); document.write( "

Algebra.Com's Answer #814402 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( " $\"highlight%28cross%28Solved%29%29\"$ Solve the following using Venn diagram
\n" ); document.write( "A group of 35 students performed in a school program. out of the 35,18 sang,19,danced, and 7 sang and danced
\n" ); document.write( "a. How many students sang only?
\n" ); document.write( "b. How many Students danced only?
\n" ); document.write( "c. How many nether sang nor danced?
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document.write( "Having problem like this, first step is to check if the data is consistent.\r\n" );
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document.write( "So, we check how many people are engaged/involved in the described activiries.\r\n" );
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document.write( "For it, we calculate the number of those, who are involved in any of singing or dancing.\r\n" );
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document.write( "Their number is  18 + 19 - 7 = 30.\r\n" );
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document.write( "It means that of the group of 35 people, 5 perform some other activities other than singing or dancing.\r\n" );
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document.write( "Now I can answer the problem's questions.\r\n" );
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document.write( "(a)  To find how many sang only, subtract from singing those who involved in both singing and dancing\r\n" );
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document.write( "             18 - 7 = 11 people sang only.    ANSWER\r\n" );
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document.write( "(b)  To find how many danced only, subtract from dancing those who involved in both singing and dancing\r\n" );
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document.write( "             19 - 7 = 12 people danced only.    ANSWER\r\n" );
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document.write( "(c)  The number of those who neither sang or danced is  35 - 30 = 5.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved anf thoroughly explained.\r
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