The school cafeteria sells three different types of sandwiches: chicken, turkey, and roast beef. Chicken sandwiches sell for $3, turkey sandwiches sell for $3.50,
and roast beef sandwiches sell for $4. The cafeteria makes 400 sandwiches
in total, and, if all sandwiches are sold, the cafeteria will take in $1375. If the
cafeteria makes the same number of chicken sandwiches as it does turkey
sandwiches, how many of each type of sandwich does the school make?