Question

Tickets to a Broadway show cost $35 for adults and $27 for children. The total receipts for 1229 tickets at one performance were $40335. How many adult and child tickets were sold?

Answer 1

The number of adults tickets sold was 894 and the number of children tickets sold was 335

Explanation:

Let

x ----> the number of adults tickets sold

y ----> the number of children tickets sold

we know that

x+y=1,229 -----> equation A

35x+27y=40,335 ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (894,335)

see the attached figure

therefore

The number of adults tickets sold was 894 and the number of children tickets sold was 335