Final answer:
After adding 1 more of each type of sandwich to the original ratio, the new ratio is 4 chicken to 6 veggie sandwiches, which simplifies to 2 chicken to 3 veggie sandwiches.
Step-by-step explanation:
Originally, we have a ratio of 3 chicken sandwiches to 5 veggie sandwiches. If Mr. Swanson turns in a late order for 1 additional veggie sandwich and 1 additional chicken sandwich, the new totals will be 4 chicken sandwiches and 6 veggie sandwiches.
To find the new ratio of chicken sandwiches to veggie sandwiches, we divide both numbers by their greatest common divisor, which in this case is 2. So, the new ratio is 4/2 to 6/2, which simplifies to 2 chicken sandwiches to 3 veggie sandwiches.