Question

ticket to a broadway show cost $35 for adult and $15 for childern . the total receipts for 1,650 ticket at one performance were $47,150. How many adult ticket and how many child ticket were sold?​

Answer 1

Answer:

The number of adult ticket sold was 1,120 and the number of child ticket sold was 530

Step-by-step explanation:

Let

x ----> the number of adult ticket sold

y ----> the number of child ticket sold

we know that

$x+y=1,650$ ----> equation A

$35x+15y=47,150$ ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (1,120,530)

see the attached figure

therefore

The number of adult ticket sold was 1,120 and the number of child ticket sold was 530