document.write( "Question 1057362: The school production of​ 'Our Town' was a big success. For opening​ night, 341 tickets were sold. Students paid ​$3.50 ​each, while​ non-students paid ​$5.50each. If a total of $ 1465.50 was​ collected, how many students and how many​ non-students attended? \n" ); document.write( "
Algebra.Com's Answer #672417 by Cromlix(4381)\"\" \"About 
You can put this solution on YOUR website!
Hi there,
\n" ); document.write( "Make students = x
\n" ); document.write( "Non-students = y
\n" ); document.write( "x + y = 341......Eq(1)
\n" ); document.write( "3.50x + 5.50y = 1465.50.......Eq(2)
\n" ); document.write( "Multiply Eq(1) by 3.50
\n" ); document.write( "3.50x + 3.50y = 1193.50.......Eq(1)
\n" ); document.write( "3.50x + 5.50y = 1465.50.......Eq(2)
\n" ); document.write( "Subtract Eq(1) from Eq(2)
\n" ); document.write( " 2y = 272
\n" ); document.write( " y = 136
\n" ); document.write( "Substitute y = 136 into Eq(1)
\n" ); document.write( "x + y = 341
\n" ); document.write( "x + 136 = 341
\n" ); document.write( "x = 341 - 136
\n" ); document.write( "x = 205
\n" ); document.write( "Number of students = 205
\n" ); document.write( "Number of non-students = 136
\n" ); document.write( "Hope this helps :-)
\n" ); document.write( " \n" ); document.write( "
\n" );