A quarter of the 72 sandwiches contain cheese. The rest contain ham. How many are ham sandwiches

Since a quarter of the sandwiches contain cheese, we have 72/4 = <<72/4=18>>18 sandwiches with cheese.

The rest of the sandwiches are ham, so there are 72 - 18 = <<72-18=54>>54 ham sandwiches. Answer: \boxed{54}.

To find out how many sandwiches contain ham, we first need to determine how many sandwiches contain cheese.

Since a quarter of the 72 sandwiches contain cheese, we can calculate this by multiplying 72 by 1/4:

72 * 1/4 = 18

Therefore, 18 out of the 72 sandwiches contain cheese.

To find out how many sandwiches contain ham, we subtract the number of sandwiches containing cheese from the total number of sandwiches:

72 - 18 = 54

So, there are 54 ham sandwiches.