got a promotion at work that came with a 6 %  pay increase.  If now her monthly salary is  $ 3074 , how much was she making before the raise?

To find out the salary before the raise, we need to calculate the original salary before the 6% increase. Let's denote the original salary as $ x $.

Given:
- The salary after a 6% increase is $3074.

The relationship can be expressed as:

\[
x + 0.06x = 3074
\]

This simplifies to:

\[
1.06x = 3074
\]

Now, solve for $ x $:

\[
x = \frac{3074}{1.06}
\]

\[
x \approx 2900
\]

So, her salary before the raise was approximately **$2,900**.

Would you like more details or have any questions?

Here are 5 related questions to expand on this topic:
1. How would the calculation change if the raise was 10% instead of 6%?
2. What would her new salary be if she receives an additional 5% raise next year?
3. If she had a 6% decrease instead, what would her new salary be?
4. How do you calculate the percentage increase if only the original and new salaries are known?
5. What is the impact of compounding salary increases over multiple years?

**Tip:** When working with percentages, always remember to convert the percentage to a decimal (e.g., 6% becomes 0.06) for calculations.

Learn how to calculate the salary before a raise using percentage increase and linear equations. This example problem involves finding the original salary before a 6% increase to $3074. Suitable for students and professionals needing to understand salary calculations.

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