Question

one evening 1500 concert tickets were sold for the Jazz Fest. Tickets cost $30 for covered pavillion seats and $10 for lawn seat. Total reciepts were $27,000. How many of each type of ticket were sold?'

Answer 1

$x-number\ of\ tickets\ for\ pavilion\\1500-x-number\ of\ tickets\ for\ lawn\\\\30x+10(1500-x)=27000\\30x+15000-10x=27000\\30x-10x=27000-15000\\20x=12000\ \ \ \ \ \ \ \ |:20\\\\x=600\\1500-600=900$