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
+128407 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
