of the employees who work at stalling printing, 90 percent attend the safety procedures meeting. if 63 employees attend the meeting, how many employees work at stalling printing?
The Correct Answer and Explanation is:
To find how many employees work at Stalling Printing, we are told that:
- 90% of the employees attend the safety procedures meeting.
- 63 employees attended the meeting.
We need to find the total number of employees.
Step-by-step Calculation:
Let the total number of employees be x.
Since 90% of the employees attend the meeting, we can write:
$$
0.90 \times x = 63
$$
To find x, divide both sides of the equation by 0.90:
$$
x = \frac{63}{0.90} = 70
$$
✅ Correct Answer: 70 employees
Detailed Explanation (300+ words):
This problem is an example of a percent equation, which helps you find a whole amount when given a part and a percentage. In this scenario, the 63 employees represent 90% of the total workforce. The unknown is the total number of employees.
The concept of percent means “per hundred.” So, 90% means 90 out of every 100. If 90% of the total workforce attended the meeting, then the number of attendees (63) is only part of the total group.
To solve it algebraically, you let x be the total number of employees. Then you multiply that total number by 90% (or 0.90 in decimal form) to represent the group that attended. That gives you the equation:
$$
0.90 \times x = 63
$$
Solving this equation requires isolating x. You do this by dividing both sides by 0.90. This cancels the multiplication and leaves x alone:
$$
x = \frac{63}{0.90}
$$
Now, divide:
$$
63 \div 0.90 = 70
$$
This means there are 70 employees in total at Stalling Printing. Out of those 70, 90% (which is 0.90 × 70 = 63) attended the meeting.
This type of problem is commonly used in real-life situations involving attendance, budgeting, surveys, and performance tracking. It’s important to understand how to convert percentages to decimals and use basic algebra to solve for unknown quantities. Knowing how to calculate percentages helps in analyzing trends and making data-driven decisions in various professions, including business, education, and healthcare.