document.write( "Question 105512: the gym is filled with 215 student and adults. Student tickets are $.50 and adult tickets are $2.00. You collected $250.00. how many adults and how many students purchased tickets. I figured the answer I just need to know the equations. Adults 95 and students 120. \n" ); document.write( "
Algebra.Com's Answer #76797 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Let x=# of students, and y=# of adults\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You know that there are 215 people total. So the sum of the students and adults
\n" ); document.write( "is 215. In other words, x plus y equals 215\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the first equation represents everyone who attended\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Equation 1: \"x%2By=215\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now since it's $0.50 a student, x students would generate \"0.5x\" dollars. Also since it's $2 per adult, y adults would generate \"2y\" dollars. So the sum of these two expressions would give the total revenue of $250. In other words, 0.5x plus 2y equals 250 would be your second equation\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the second equation represents the total revenue generated from the two groups\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Equation 2: \"0.5x%2B2y=250\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now just use elimination or substitution to solve for x and y
\n" ); document.write( "
\n" );