Anjali’s school is selling tickets to the annual dance competition

on the first day of ticket sales the school sold 6 adult tickets and 8 student tickets for a total of $130

the school took in $90 on the second day by selling 2 adult tickets and 12 student tickets

find the price of an adult ticket and the price of a student ticket

Guest Jan 16, 2020

#1**+1 **

Let A be the price of an adult ticket (in dollars)

Let S be the price of a student's ticket (in dollars)

We have this system

6A + 8S = 130

2A + 12S = 90 multiply this equation through by - 3

6A + 8S = 130

-6A - 36S = - 270 add these

-28S = -140 divide both sides by -28

S = 5

And using 2A + 12S = 90

2A + 12 (5) = 90

2A + 60 = 90 subtract 60 from both sides

2A =30 divide both sides by 2

A =15

CPhill Jan 16, 2020