Final answer:
Olivia initially has 42 students (7 pods \(\times\) 6 students each). After receiving 102 new students, she has a total of 144 students.
Step-by-step explanation:
Olivia currently has students grouped in pods. There are 7 pods with 6 students in each pod. First, we calculate the total number of students before getting the new students:
7 pods \(\times\) 6 students/pod = 42 students
She gets 102 new students today. So, the total number of students after adding the new students is:
42 current students + 102 new students = 144 students
Therefore, Olivia now has a total of 144 students.