document.write( "Question 1003069: A movie theater charges $9.50 for an adult and $7.75 for a child to see a movie. If 92 people were at the 9:20 pm show and the total admission paid was $837.25, how many adult tickets were at the movies? \n" ); document.write( "

Algebra.Com's Answer #853932 by ikleyn(53646) $\"\"$ $\"About$

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\n" ); document.write( "A movie theater charges $9.50 for an adult and $7.75 for a child to see a movie.
\n" ); document.write( "If 92 people were at the 9:20 pm show and the total admission paid was $837.25,
\n" ); document.write( "how many adult tickets were at the movies?
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\n" ); document.write( "\n" ); document.write( "        In this problem, they ask about the number of adult tickets, only.\r
\n" ); document.write( "\n" ); document.write( "        So, there is no need to work with two unknowns and solve a system of two equations.\r
\n" ); document.write( "\n" ); document.write( "        One unknown and one equation is enough, as I will show below in my solution.\r
\n" ); document.write( "\n" ); document.write( "        It simplifies the methodology and make calculations/solution/writing shorter.\r
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document.write( "Let x be the number of adult tickets.\r\n" );
document.write( "Then the number of child tickets was (92-x).\r\n" );
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document.write( "Write an equation for the total revenue\r\n" );
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document.write( "    7.75x + 9.50(92-x) = 837.25.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    7.75x + 9.50*92 - 9.50x = 837.25,\r\n" );
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document.write( "    7.75x - 9.50x = 837.25 - 9.50*92,\r\n" );
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document.write( "       -1.75x     =     -36.75,\r\n" );
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document.write( "            x     =      = 21.\r\n" );
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document.write( "ANSWER.  The number of the child tickets is 21.\r\n" );
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document.write( "CHECK.   Let's check the total revenue:  7.75*21 + 9.50*(92-21) = 837.25.  ! Precisely correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved, using only one unknown and one equation.
\n" ); document.write( "Less calculations and shorter writing.\r
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