Question

A group of students auditioned for a theater performance and 3/4 of the group less six students made up the cast of 42 students. Write an equation to represent the total number of students who auditioned, t.

Answer 1

3/4x-6=42

x=64

Explanation:

Let the number of students be x hence 3/4 of this number will be 3/4x

Since the number was 42 if they were 3/4x less six, it means minus six hence

3/4x-6=42

Therefore, the equation will be

3/4x-6=42

Solving the equation

3/4 x=42+6=48

3/4x=48

X=62