https://r2.erweima.ai/mathbot/image/1726273822814ch7h2hax.jpg

The problem describes a situation where a company has increased its number of employees by 36% compared to the previous year. We know that the current number of employees is 78,200, and we need to determine how many employees the company had one year ago.

### Steps to solve:

1. Let \( x \) represent the number of employees the company had one year ago.
2. The number of employees has increased by 36%, so the current number of employees is \( x + 0.36x = 1.36x \).
3. The current number of employees is given as 78,200. Therefore, we can set up the equation:
   \[
   1.36x = 78,200
   \]
4. Solve for \( x \) by dividing both sides by 1.36:
   \[
   x = \frac{78,200}{1.36}
   \]

Let me calculate this.The company had approximately 57,500 employees one year ago.

Would you like further explanation or clarification? 

Here are five related questions to extend your understanding:
1. How would the equation change if the percentage increase was 50% instead of 36%?
2. What would be the company's current number of employees if they had 57,500 last year and the increase was 40%?
3. How can we verify that 57,500 is indeed the correct number from a reverse calculation?
4. If the company had 57,500 employees and saw a 25% decrease, how many employees would it have now?
5. What if the company had hired employees at a steady monthly rate over the past year—how many employees would they have hired each month?

**Tip:** When calculating percentage increases or decreases, converting percentages to decimals helps simplify the math (e.g., 36% = 0.36).

Una compañía ha estado contratando empleados nuevos recientemente. Hoy la compañía tiene 36% más empleados de lo que tenía hace un año. Si actualmente hay 78,200 empleados, ¿cuántos empleados tenía la compañía hace un año?

Learn how to calculate the original number of employees before a 36% increase. Given that the current number of employees is 78,200, this example covers algebraic methods for determining the number of employees one year ago.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation