Question

Ticket sales for the school play broughtin receipts of $6,950 for 1,240 ticketssold. If adult tickets cost $6 and studenttickets cost $4, how many of each ticketwere sold?

Answer 1

x is the number of adult tickets

y is the number of student tickets

We have the next equation for the number of tickets in total

x+y=1240

We have the next equation for the receipts

6x+4y= 6950

We will isolate the x of the first equation

x=1240-y

Then we substitute in the second equation

6(1240-y)+4y= 6950

We simplify

7440-6y+4y=6950

-2y=6950-7440

-2y=-490

y=-490/-2

y=245

Then we use the equation where the x is isolated and we substitute the value of y

x=1240-245=995

ANSWER

They sold

995 adult tickets

245 student tickets