Answer:
There were 144 students in the House Zenia.
To find out how many students were in the House Zenia, we can first calculate the total number of students in the other three houses and then subtract that from the total population of 480 students.
House Hibiscus:
30% of 480 students = 0.30 * 480 = 144 students.
House Croton:
25% of 480 students = 0.25 * 480 = 120 students.
House Orchids:
15% of 480 students = 0.15 * 480 = 72 students.
Now, let's add up the students in these three houses:
Total students in House Hibiscus, Croton, and Orchids = 144 + 120 + 72 = 336 students.
To find the number of students in the House Zenia, subtract this total from the total population:
Number of students in House Zenia = Total population - Total students in other houses
Number of students in House Zenia = 480 - 336 = 144 students.
So, there were 144 students in the House Zenia.