document.write( "Question 167815: Annual concert. A total of 150 tickets were sold for the annual concert to students and non-students. Student tickets were $5 and non-student tickets were $8. If the total revenue for the concert was $930, then how many tickets of each type were sold? \n" ); document.write( "
Algebra.Com's Answer #123713 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Annual concert. A total of 150 tickets were sold for the annual concert to students and non-students. Student tickets were $5 and non-student tickets were $8. If the total revenue for the concert was $930, then how many tickets of each type were sold? \n" ); document.write( ". \n" ); document.write( "Let x = student tickets sold \n" ); document.write( "then \n" ); document.write( "150-x = non-student tickets sold \n" ); document.write( ". \n" ); document.write( "Since we know the total revenue, we get \n" ); document.write( "930 = 5x + 8(150-x) \n" ); document.write( "930 = 5x + 1200 - 8x \n" ); document.write( "930 = 1200 - 3x \n" ); document.write( "930 + 3x = 1200 \n" ); document.write( "3x = 270 \n" ); document.write( "x = 90 (student tickets sold) \n" ); document.write( ". \n" ); document.write( "non-student tickets: \n" ); document.write( "150-x = 150-90 = 60 (non-student tickets sold)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |