Write an equation to find the number of student in mr Boggs home room if the total number of students is 90

Question

Mr. Boggs-        b

mr. Hamilton-   15(b+2)

Ms.Simpson-    15

Mrs.Walton-     2b-9

Answer 1

If we add the number of students in each of the 4 teacher's home, we get a total of 90.

 

b + 15(b + 2) + 15 + 2b - 9 = 90

 

b + 15b + 30 + 15 + 2b - 9 = 90

 

 

Solve for b.

 

Combine like terms to simplify the equation.

 

18b + 36 = 90

 

 

Subtract 36 on both sides of the equation.

 

18b = 54

 

 

Divide both sides of the equation by 18.

 

b = 3

 

 

Since the number of students in Mr.Boggs house is represented by b,

 

there are 3 students in his house.