Final answer:
To form groups, the math teacher and science teacher need to distribute their students evenly. The correct answer is C) 5 groups of 5 and 7 groups of 5.
Step-by-step explanation:
In order to form groups, the math teacher and science teacher need to distribute their students evenly. The math teacher has 18 students and the science teacher has 27 students, which means they have a total of 45 students.
To form groups of 5, we divide 45 by 5, which gives us 9 groups. Since the math teacher has 18 students, they will form 3 groups of 5 students. The science teacher, with 27 students, will form 5 groups of 5 students.
Therefore, the correct answer is C) 5 groups of 5 and 7 groups of 5.