Certainly! Here's an algebraic math problem:

### Problem:
A company sells two types of products, Product A and Product B. The company makes a profit of $5 on each unit of Product A sold and $8 on each unit of Product B sold. In one month, the company sells a total of 500 units of both products combined. If the total profit from both products is $3200, how many units of each product were sold?

### Question:
Let $ x $ represent the number of units of Product A sold and $ y $ represent the number of units of Product B sold. Write and solve a system of equations to determine the number of units of Product A and Product B sold.

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Would you like to see the solution or try solving it yourself? Also, do you want more details or have any questions?

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Here are 5 related questions:
1. What would happen to the solution if the total profit increased to $4000?
2. How would the system of equations change if Product B's profit per unit was $10 instead?
3. If the total units sold decreased by 100, how would that affect the number of units sold for each product?
4. What if the company decided to offer a discount, reducing the profit on Product A by $1 per unit?
5. Can you think of a scenario where both products generate the same total profit?

**Tip:** When dealing with systems of linear equations, substitution and elimination are key methods to find the solution.

Learn how to solve a profit calculation problem using algebraic equations. This problem involves determining the number of units sold for two products based on their profits and total units sold. Suitable for high school students studying algebra.

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