A total of 900 tickets were sold for a game for a total of $2740. If adult tickets sold for $5 each and child tickets cost $1 each, how many of each kind of ticket were sold?

Question

A total of 900 tickets were sold for a game for a total of $2740. If adult tickets sold for $5 each, and child tickets cost $1, how many of each kind of ticket sold?

Answer 1

If A and C are the numbers of adult and child tickets, A+C=900. So C=900-A

Total cost is 5A+C=2740, so C=2740-5A.

Therefore 900-A=2740-5A, 4A=2740-900=1840, A=1840/4=460.

C=900-460=440.

So 460 adult tickets and 440 child tickets were sold.