document.write( "Question 959052: The school's fall musical was a big success. For opening night, 347 tickets were sold. Students paid $3.50 each, while non-students paid $5.50 each. If a total of $1450.50 was collected, how many students and how many non-students attended?
\n" ); document.write( "How do I solve this? \n" ); document.write( "

Algebra.Com's Answer #586167 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
The school's fall musical was a big success. For opening night, 347 tickets were sold. Students paid $3.50 each, while non-students paid $5.50 each. If a total of $1450.50 was collected, how many students and how many non-students attended?
\n" ); document.write( "--------------------
\n" ); document.write( "Quantity:: s + n = 347
\n" ); document.write( "Value:: 3.5s + 5.5n = 1450.5
\n" ); document.write( "----------
\n" ); document.write( "Modify for elimination::
\n" ); document.write( "3.5s + 3.5n = 3.5*347
\n" ); document.write( "3.5s + 5.5n = 1450.5
\n" ); document.write( "------
\n" ); document.write( "Subtract and solve for \"n\"::
\n" ); document.write( "2n = 236
\n" ); document.write( "n = 118 (# of non-student tickets sold)
\n" ); document.write( "------
\n" ); document.write( "Solve for \"s\":
\n" ); document.write( "s = 347-118 = 111 (# of student tickets sold)
\n" ); document.write( "--------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "------------------ \n" ); document.write( "

\n" );