3. There were 78 fewer students at the awards assembly than at the pep rally. There were 219 students at the awards assembly. How many students attended the pep rally? Define a variable and write an equation for this real-world problem. Variable:

Let's define the variable \( x \) as the number of students who attended the pep rally. According to the problem, there were 78 fewer students at the awards assembly than at the pep rally. Therefore, we can set up the equation: \[ x - 78 = 219 \] To find out how many students attended the pep rally, you simply add 78 to 219: \[ x = 219 + 78 \] Now, calculating that gives you \( x = 297 \). So, there were 297 students at the pep rally! Understanding how to translate real-world scenarios into algebraic equations is like decoding a treasure map. Every problem hides clues, and by recognizing variables and their relationships, you unlock the path to the solution—just like a detective connecting the dots to solve a mystery! In many careers, especially in fields such as event planning and education, analyzing attendance and participation rates is essential. Understanding these dynamics can help event organizers anticipate resources needed, such as seating arrangements, refreshments, and even budgeting. It’s not just about knowing how many people show up; it’s about creating an accommodating experience for everyone involved!