1932 concert tickets

Question

1932 concert ticket where sold for a total 24,205$ if student paid 10$ a ticket and non student paid 15$ how many student ticket where sold?

Answer 1

X= Students

1932-X = Non-Students

10X = Ticket Price/Student

[Ticket Price/Student]+[Ticket/non-student (total non student tickets)]=24,205

10X+15(1932-X)=24,205

Multiply everything in the parentheses by 15

10X+28,980-15X=24,205

Get all your same symbols on the same side of the equal sign

10X-15X = 24,205-28,980

Condense

-5X=-4775

Divide both sides by -5

X=955

Total tickets equal 1,932 and X, which is student tickets, equals 955; therefore

1,932-955 = 977 Non-Student tickets