document.write( "Question 1105989: Tickets to a dance are $7 for students and $8 for guests. How many students are present if $1350 were collected and only 180 people showed up
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #720901 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "The average cost per ticket is $1350/180 = $7.50.

\n" ); document.write( "Since the average is halfway between the two prices, there must be equal numbers of students and guests, so the number of students was 180/2 = 90.

\n" ); document.write( "If you need an algebraic solution for finding the number of students....

\n" ); document.write( "let x = number of students
\n" ); document.write( "then 180-x = number of guests

\n" ); document.write( "The total cost of the tickets, at $7 per student and $8 per guest, was $1350:

\n" ); document.write( "\"7%28x%29%2B8%28180-x%29+=+1350\"
\n" ); document.write( "\"7x%2B1440-8x+=+1350\"
\n" ); document.write( "\"-x+=+-90\"
\n" ); document.write( "\"x+=+90\"
\n" ); document.write( "
\n" );