Students in the 7th and 8th grade at Imawinner Middle School are going on a field trip to the planetarium. If a student actively participates in the engagement activities at the planetarium, they are entered into a raffle to win a free lunch from their favorite restaurant. The table below shows the number of students in each grade and homeroom who engaged in the activities.

Table"

Homeroom A has 8 7th graders and 9 8th graders
Homeroom B has 10 7th graders
10 8th graders
Homeroom c has 7 7th graders 9 8th graders

Total number of 7th graders: 8 + 10 + 7 = 25

Total number of 8th graders: 9 + 10 + 9 = 28

Therefore, there are a total of 25 + 28 = 53 students who actively participated in the engagement activities at the planetarium. These 53 students will be entered into the raffle to win a free lunch from their favorite restaurant.