document.write( "Question 1157920: A concert manager counted 475 ticket receipts the day after a concert. The price for a student ticket was $10.50, and the price for an adult ticket was $12.00. The register confirms that $5,475.00 was taken in. How many student tickets and adult tickets were sold \n" ); document.write( "
Algebra.Com's Answer #780816 by mananth(16946)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "A concert manager counted 475 ticket receipts.
\n" ); document.write( "Let number of students be x
\n" ); document.write( "and adults be y
\n" ); document.write( "x+y=475\r
\n" ); document.write( "\n" ); document.write( " The price for a student ticket was $10.50,
\n" ); document.write( " and the price for an adult ticket was $12.00.
\n" ); document.write( " The register confirms that $5,475.00 was taken in.\r
\n" ); document.write( "\n" ); document.write( "10.50x +12y = 5475\r
\n" ); document.write( "\n" ); document.write( "Solve the equations\r
\n" ); document.write( "\n" ); document.write( "1.00 x + 1.00 y = 475.00
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\n" ); document.write( "10.50 x + 12.00 y = 5475.00 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -12.00
\n" ); document.write( "Multiply (2) by 1.00
\n" ); document.write( "-12.00 x -12.00 y = -5700.00
\n" ); document.write( "10.50 x 12.00 y = 5475.00
\n" ); document.write( "Add the two equations
\n" ); document.write( "-1.50 x = -225.00
\n" ); document.write( "/ -1.50
\n" ); document.write( "x = 150.00
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1.00 x + 1.00 y = 475.00
\n" ); document.write( "150.00 + 1.00 y = 475.00
\n" ); document.write( " 1.00 y = 325.00
\n" ); document.write( " y = 325.00
\n" ); document.write( "Ans x = 150.00
\n" ); document.write( " y = 325.00
\n" ); document.write( " 150.00 students
\n" ); document.write( " 325.00 Adults
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