A company sells two products, A and B. Product A sells for $30 each, and Product B sells for $50 each. If 100 products are sold for a total of $3,800, how many of each product were sold? - Imagemakers
Why a Digital Platform’s Product Mix Drives Smart Consumer Choices—and What It Reveals
Why a Digital Platform’s Product Mix Drives Smart Consumer Choices—and What It Reveals
In a market where value and variety shape purchasing behavior, curious buyers are increasingly drawn to brands that offer flexible solutions—like one company that sells two core products, A and B. With Product A priced at $30 and Product B at $50, this business sold a total of 100 units generating $3,800 in revenue. This simple puzzle isn’t just a math question—it reflects real-world decisions shaped by budget, need, and preference. Understanding how many of each product were sold offers insight into consumer balance and spending habits, especially as affordability and choice remain hot topics across the U.S.
The Growing Interest in Flexible, Tiered Offerings
Understanding the Context
In recent years, consumers have shown stronger interest in products that allow customization based on price, need, and lifestyle. A tiered pricing model—like A and B—supports this shift by giving buyers options: a more affordable entry point with Product A, and a premium offering through Product B. These kinds of choices resonate especially amid economic uncertainty, where shoppers weigh value against desire. The data shows this strategy isn’t accidental; it aligns with measurable trends in how Americans prioritize purchases without making drastic trade-offs.
How Many of Each Product Were Sold? A Clear Breakdown
To unpack the numbers, suppose the business sold a total of 100 units, combining Product A and Product B, with total revenue hitting $3,800. Using straightforward calculations, let A be the number of Product A units sold and B the number of Product B units. We know:
A + B = 100
30A + 50B = 3,800
Substituting B = 100 – A into the price equation:
30A + 50(100 – A) = 3,800
30A + 5,000 – 50A = 3,800
–20A + 5,000 = 3,800
–20A = –1,200
A = 60
Key Insights
Then B = 100 – 60 = 40.
So, 60 units of Product A and 40 units of Product B were sold, totaling $3,800 and hitting the target customer split. This clear breakdown reveals a balanced, needs-driven sales structure.
Why This questions the Bigger Picture in US Shopping Habits
This scenario isn’t unique—it mirrors how many online and retail brands use dual-tier products. The mix reflects deliberate strategy: Product A enables accessibility for budget-conscious buyers, while Product B caters to those willing to invest more for added value. For the U.S. shopper, this shows a shift toward personalization and choice, especially when prices diverge clearly.
Common Questions Users Ask
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*How accurate is this breakdown?
Buyers frequently want to confirm if such sales numbers are typical or strategically reported. While exact figures depend on real-time data, this model reflects standard pricing psychology and purchase segmentation.
*Can this mix boost customer retention?
Yes—offering two options supports customer loyalty; buyers pivot between A and B based on evolving needs.
*Is this model sustainable in current markets?
With
