Three fourths of the students in the class did their homework last night. If 18 students in the class did their homework, how many students are there in class?

Question

Solve your equation algebraically two different ways.

Answer 1

n = number of students in the class

 

(3/4)n did their homework last night

 

18 did their homework last night

 

Then

 

(3/4)n = 18

 

Solve for n and get

 

n = (4/3)18 = 24

 

There are 24 students in the class.