Question

During the first day of the concert, the number of student tickets sold was 80 fewer than the number of student tickets sold.On the second day, the number of adult tickets sold decreased by 15 percent while the number of student tickets sold increased by 30 percent.The cost of each adult ticket was $65 while the cost of each student ticket was $32.Given that 1824 tickets were sold on the second day, how much money was collected from the sale of the tickets on the first day.

Answer 1

If there were s student tickets and a adult tickets sold on the first day, then we have

a = s-80
.85a + 1.30s = 1824
a = 800
s = 880

so, on day 1 they took in

65*800 + 32*880 = 80160