document.write( "Question 590881: receipts for a concert attended by 450 people were $2,775. If reserved seat tickets were $7 and general admission tickets were $4. How many of each type of ticket were sold? \n" ); document.write( "

Algebra.Com's Answer #375338 by mananth(16946) $\"\"$ $\"About$

You can put this solution on YOUR website!
x numbers Reserved Tickets
\n" ); document.write( "y numbers General
\n" ); document.write( "
\n" ); document.write( "1 x + 1 y = 450 .............1
\n" ); document.write( "7 x + 4 y = 2775 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -4
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-4 x -4 y = -1800
\n" ); document.write( "7 x + 4 y = 2775
\n" ); document.write( "Add the two equations
\n" ); document.write( "3 x = 975
\n" ); document.write( "/ 3
\n" ); document.write( "x = 325
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + 1 y = 450
\n" ); document.write( "325 + 1 y = 450
\n" ); document.write( " 1 y = 450 -325
\n" ); document.write( " 1 y = 125
\n" ); document.write( " y = 125
\n" ); document.write( "325 numbers Reserved Tickets
\n" ); document.write( "125 numbers General
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "

\n" );