Lin's math class surveyed all 360 students in their school about their pets. Here's what they found:

190 of the students have dogs.
163 of the students have cats.
83 of the students have neither a dog nor a cat.

How many students have both a dog and a cat?

Answer key below

76 students have both a cat and a dog.

If your answer does not match ours,

did you understand that some of the 190 students who have dogs also have cats?
did you try making a diagram?
did you find out how many students have pets?
did you check your arithmetic?