Q # 1 solve the problem

 For this case we have the following variables:
  x = the number of adult tickets
  y = the number of children's tickets
  We write the inequality:
  8x + 6y <= 172
  The solution is the set of points that belong to the region shaded in the graph.
  Answer: 
  8x + 6y <= 172 
  see attached image.