A company sells two products, A and B. Product A costs $50 and Product B costs $70. If the total revenue from selling 100 units of both products is $6000, how many of each product was sold? - RoadRUNNER Motorcycle Touring & Travel Magazine

Understanding the Context

Why A Company Sells Two Products, A and B—Is It Trending Now?

The combination of a $50 product, A, and a $70 product, B, sold within a total of 100 units totaling $6,000 in revenue exemplifies strategic product tiering. This pricing structure matches common market practices where brands offer distinct value tiers to cater to diverse customer needs without conflicting competition within the同一 product line. In an environment where users actively compare offerings and loyalty hinges on perceived value, such segmentation supports clear messaging and more informed buying decisions.

Social and economic trends show increasing demand for accessible, high-value products across the U.S., particularly in sectors focusing on affordability without compromising quality. The dataset—100 units sold, $6,000 total—represents a balanced mix that balances volume with price premium, resonating with consumers balancing budget constraints and product expectations.

How to Solve: How Many of Each Product Were Sold?

Key Insights

To determine how many units of Product A and Product B were sold, start with two known variables:

• Total units: A + B = 100
• Total revenue: 50A + 70B = 6000

From the first equation, express A in terms of B:
A = 100 − B

Substitute into the revenue equation:
50(100 − B) + 70B = 6000
5000 − 50B + 70B = 6000
20B = 1000
B = 50

Then A = 100 − 50 = 50

This reveals both products sold exactly 50 units. The scenario illustrates how structured algebra and logical substitution uncover clear, real-world answers—empowering readers to grasp both the product mix and the practicality of data-driven decision-making.

Final Thoughts

Common Questions People Ask About This Scenario

H3: How was the total revenue calculated so accurately?
The calculation relies on a simple linear equation combining unit count and price per unit. By isolating variables and using substitution, the math confirms a balanced split—showing that precise pricing strategies naturally lead to predictable outcomes.

H3: Why isn’t the mix skewed toward one product?
Because the prices ($50 and $70) create distinct value propositions within the same product category. This separation allows both products to serve different segments without cannibalizing sales, supporting healthier market reach.

H3: Could the numbers change in different situations?
Yes. Revenue, total units, and even price points would alter the ratio. The current result reflects a static balance, but real-world dynamics—such as demand shifts, cost changes, or marketing efforts—can influence future distributions.

Opportunities and Key Considerations

H3: Benefits of a Dual-Product Strategy
A focused lineup like A and B supports customer choice while optimizing revenue. It reduces complexity, strengthens brand clarity, and enables targeted promotions. In competitive markets, such specificity enhances relevance and customer trust.