Final answer:
Out of the 472 total students, 236 are taking algebra, 47 are taking geometry after rounding down, and the remaining 189 are enrolled in pre-algebra classes at Tri-City Middle School.
Step-by-step explanation:
The question asks how many students are taking pre-algebra at Tri-City Middle School. With a total enrollment of 472 students, we can calculate that half of the students are taking algebra, which is 236 students. The remaining part, which is also 236 students, are not taking algebra. One-fifth of the students not taking algebra are taking geometry, meaning 47.2 students, but since we cannot have a fraction of a student, we would typically round to the nearest whole number, which is 47 students for geometry. The rest must be taking pre-algebra. So, we subtract the 47 geometry students from the 236 students who are not in algebra to get the number of pre-algebra students: 236 - 47 = 189 students.