tickets at the dance that were bought before the were $2 each.Tickets at the door were $3.Altogether 478 tickets were sold and total of 1110

Let b = number of tickets bought before and d = number bought at the door.  Then

b + d = 478                      (1)

2b + 3d = 1110                (2)

Double all terms in (1)

2b + 2d = 956                   (3)

Subtract (3) from (2) term by term:

3d - 2d = 1110 - 956

d =  154

Put this back into (1):

b + 154 = 478

Subtract 154 from both sides:

b = 324

So there were 324 tickets bought before and 154 at the door.

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