word problem

Question

a community theatre production charges $6.50 for each adult ticket and $4.00 for each student ticket. If 410 tickets were sold and $2,465.00 was made from the ticket sales, find how many of each kind of ticket were sold. 

Answer 1

6.5A + 4S = 2465

A + S = 410

4A + 4S = 1640

subtract last from 1st to get

2.5A = 825

divide by 2.5

A = 825/2.5 = 330 adult tickets

S = 410-330 = 80 student tickets

6.5(330) + 4(80) = 2145 + 320 = 2465