Answer:
Adult ticket = $11
Children ticket = $9
Step-by-step explanation:
Let the price of adult tickets be x and let the price of children's ticket be y
For the first day, the equation of sales can be put as
3x + 12y = 141..........1
For the second day, the equation of sales can be put as:
13x + 6y = 197............2
We then take these two equations together and solve simultaneously.
3x + 12y = 141.......1
13x + 6y = 197........2
Solving by elimination method, we Multiply through equation 1 by 13 and multiply through equation 2 by 3.
39x + 156y = 1833.........3
39x + 18y = 591..............4
Then subtract equation 4 from equation 3
138y =1242
y = 9
Substitute "y=9" into equation 1 to find x
3x + 12(9) =141
3x + 108 = 141
3x = 141 - 108
3x = 33
x = 11
Hence,
Price of adult ticket = $11
Price of children ticket = $9
