Assuming that the 90 students are split between the four teachers, what we need to do is to add the four expressions and set them equal to 90.
Solve for b, and we will have our answer because Mr. Boggs has b students.
Teacher. Number of students
Mr.bogg's. b
Mr.hamilton. 1.5(b+2)
Ms.simpson. 15
Mrs.walton. 2b - 9
(Mr. bogg's) + (Mr hamilton) + (Ms simpson) + (Mrs walton) = 90
I used the teachers name, you want to plug the expressions into the parenthesis. Solving for b will provide the answer to how many students are in Mr bogg's homeroom.
b + 1.5(b+2) + 15 + (2b - 9) = 90