Let us say,
Price of adult ticket=x
Price of child ticket =y
On the first day ticket sales the school sold 4 adult tickets and 12 child tickets for total of $80
4x+12y=80.............(1)
took $41 on the second day by selling 1 adult ticket and 10 child tickets
1x+10y=41.............(2)
x=41-10y..............(3)
plugging the value of x from equation (3) in equation (1) we get,
4(41-10y)+12y=80
164-40y+12y=80
84=28y
y=3
plugging this value of y in equation (2) we get,
1x+10(3)=41
x=11
Price of adult ticket= 11 dollars
Price of child ticket = 3 dollars
