A store manager wants to determine how much to pay her employees. The number of hours the employees work is, and the hourly wage that they are paid is. The store manager is willing to pay the employees a wage given by the equation. The business owner states that the employees should be paid a wage given by the equation. If the two equations were added then simplified to determine hourly wage, y, how much would the employees be paid?

It seems like you're describing a scenario where two different equations are proposed to determine the wage, one by the store manager and one by the business owner. If the two equations are combined to determine the final hourly wage, we can add and simplify them to find the result.

Let's break it down step by step. Here are some assumptions, as you haven't provided the exact equations:

1. Let the store manager's equation for hourly wage be \( y_1 \).
2. Let the business owner's equation for hourly wage be \( y_2 \).

The total hourly wage equation after adding the two equations is:

\[
y = y_1 + y_2
\]

To simplify this and determine the wage \( y \), we need the specific forms of \( y_1 \) and \( y_2 \). Could you provide the equations proposed by the store manager and the business owner? This will allow me to proceed with the solution.

If the equations are linear or quadratic, I can handle them accordingly. Let me know the equations!

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Do you want more details about equation addition or simplification? Here are five related questions to consider:

1. What if one equation is nonlinear—how would that affect the total wage calculation?
2. How would this wage equation change if overtime pay is included?
3. Can you explore how wage adjustments due to inflation affect the overall wage?
4. What happens if the store manager wants to include bonuses in the equation?
5. How would the wage change if employees worked more or fewer hours than initially planned?

**Tip**: When combining equations, always ensure to align similar terms for easier simplification.

Discover how to combine and simplify wage equations to determine the hourly pay for employees. This algebra problem involves adding linear equations and simplifying them, suitable for students in Grades 7-9.

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