Eva's retirement party will cost $132 if she invites 4 guests. What is the maximum number of guests there can be if Eva can afford to spend a total of $1,947 on her retirement party? Assume the relationship is directly proportional.
guests
Let x be the number of guests Eva can invite.
The cost of the retirement party is 132 + 33(x - 4).
The relationship is directly proportional, so the equation is 132 + 33(x - 4) = 1947.
Multiplying through the parentheses, we get 132 + 33x - 132 = 1947.
Adding like terms, we get 33x = 1815.
Dividing both sides by 33, we get x = <<55=55>>55.
The maximum number of guests Eva can invite is 55. Answer: \boxed{55}.