Question

Please help me! Show all work!

An auditorium has 360 balcony seats and 1200 main level seats. If tickets for the balcony seats will cost 10 dollars less than main level seats what should the ticket prices be if the total revenue from a sellout performance is $33,840?

Answer 1

1200x + 360(x - 10) = 33,840
1200x + 360x - 3600 = 33,840
1560x - 3600 = 33,840
1560x = 33,840 + 3,600
1560x = 37,440
x = 37,440 / 1560
x = 24..... main level seats cost $ 24 <==

balcony seats cost (24 - 10) = $ 14 <==