Answer:
21 children's tickets were sold and 22 adult's tickets were sold
Step-by-step explanation:
Create a system of equations where c is the number of children's tickets sold and a is the number of adult's tickets sold:
10c + 11a = 452
c + a = 43
Solve by elimination by multiplying the bottom equation by -10:
10c + 11a = 452
-10c - 10a = -430
Add them together and solve for a:
-a = -22
a = 22
So, 22 adult's tickets were sold. Plug this into one of the equations and solve for c:
c + a = 43
c + 22 = 43
c = 21
So, 21 children's tickets were sold and 22 adult's tickets were sold