document.write( "Question 424727: Children's tickets to a movie cost $4. Adult tickets cost $7. If 275 tickets were sold for a total cost of $1174, how many of each type were sold? \n" ); document.write( "

Algebra.Com's Answer #853205 by ikleyn(53750) $\"\"$ $\"About$

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\n" ); document.write( "Children's tickets to a movie cost $4. Adult tickets cost $7.
\n" ); document.write( "If 275 tickets were sold for a total cost of $1174, how many of each type were sold?
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\n" ); document.write( "\n" ); document.write( "        The solution by @mananth in his post is INCORRECT.\r
\n" ); document.write( "\n" ); document.write( "        The problem is posed INCORRECTLY and has no solution.\r
\n" ); document.write( "\n" ); document.write( "        I came to explain WHY it is so.\r
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document.write( "Let x be the number of adult tickets.\r\n" );
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document.write( "Then the number of children tickets is (275-x).\r\n" );
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document.write( "Write the total cost equation (same as the total revenue)\r\n" );
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document.write( "    7x + 4*(275-x) = 1174  dollars.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    7x + 4*275 - 4x = 1174,\r\n" );
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document.write( "    7x - 4x = 1174 - 4*275\r\n" );
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document.write( "       3x   =     74\r\n" );
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document.write( "        x   =     74/3 = 24  <<<---=== ? ? ? ? ? ? ?  \r\n" );
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\n" ); document.write( "\n" ); document.write( "We got a CONTRADICTION: the number of tickets must be integer, but we obtained non-integer answer.\r
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\n" ); document.write( "\n" ); document.write( "It means that the problem is posed INCORRECTLY and describes a situation
\n" ); document.write( "which NEVER may happen.\r
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\n" ); document.write( "\n" ); document.write( "The solution by @mananth in his post is INCORRECT.
\n" ); document.write( "Simply IGNORE his solution.\r
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