We can solve this problem using a Venn diagram. Let's draw two overlapping circles, one for Buffalo Bills fans and the other for New York Jets fans. The region where the circles overlap represents students who are fans of both teams.
Let x be the number of students who are fans of both teams. Then, we can fill in the Venn diagram as follows:
43 - x students are only fans of Buffalo Bills.
27 - x students are only fans of New York Jets.
x students are fans of both teams.
48 students do not like either team.
The total number of students surveyed is 100, so we can write an equation based on the sum of these numbers:
(43 - x) + (27 - x) + x + 48 = 100
Simplifying this equation, we get:
118 - x = 100
x = 18
Therefore, 18 of the students surveyed are fans of both the Buffalo Bills and the New York Jets.