Question

John is selling tickets to an event. Attendees can either buy a general admission ticket, x, or a VIP ticket, y. The general admission tickets are $65 and the VIP tickets are $80. If he knows he sold a total of 26 tickets and made $1,795, how many of each type did he sell? Enter a system of equations to represent the situation, then solve the system. The system of equations is . John sold 19 general admission tickets and 7 VIP tickets.

Answer 1

John sold:

General Tickets = 19

VIP tickets = 7

Step-by-step explanation:

Let x = General ticket

y= VIP ticket

Now form a system of equation aX + bY = C

where

a= 65= coefficient of variable X

b= 80 = coefficient of variable Y

C= 1795

Put these values in above equation

65x + 80y = 1795 . . . . . (1)

Since John sold total of 26 tickets, we can write

x + y = 26 . . . . . (2)

or y = 26 - x ,,,,,, put this value in eq.1

65x + 80( 26 - x ) = 1795

65x + 2080 - 80x = 1795

2080 - 15x = 1795

-15x = 1795 - 2080

-15x = -285

x = -285/-15

x = 19 ,,,,,,, put thin value in eq.2

19 + y = 26

y = 26 - 19

y = 7