In a survey of 93 pet owners, 27 said they own a dog, and 50 said they own a cat. 16 said they own both a dog and a cat. How many owned neither a cat nor a dog?

Let's first find the number of people who own either a dog or a cat. We can do this by adding the number of people who own a dog (27) and the number of people who own a cat (50): 27 + 50 = <<27+50=77>>77

Next, we subtract the number of people who own both a dog and a cat to get the number of people who own either a dog or a cat but not both: 77 - 16 = <<77-16=61>>61
Finally, we subtract the number of people who own either a dog or a cat but not both from the total number of pet owners to find the number who own neither: 93 - 61 = <<93-61=32>>32. Answer: \boxed{32}.