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) You can put this solution on YOUR website! \r \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 \n" ); document.write( " \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( " |