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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.

Respuesta :

Answer:

John sold:

General Tickets = 19

VIP tickets = 7

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