A high school robotics team has $218 to spend on motors and sensors. Each motor costs $18.50 and each sensor costs $12.75. If they buy 6 motors, how many sensors can they purchase with the remaining budget? - RoadRUNNER Motorcycle Touring & Travel Magazine

Understanding the Context

Across the U.S., more students are pursuing STEM through hands-on teams like FIRST Robotics, where funding constraints make strategic planning essential. As costs rise across electronics, teams must balance performance with affordability. When a robotics group allocates $18.50 per motor, that leaves tangible limits on how many sensors—critical for detection, navigation, and feedback—can be integrated. Consumers and educators alike are noticing how careful planning transforms limited budgets into functional, competitive systems, sparking interest in practical engineering education.

How the Math Unfolds

If a robotics team spends $218 on motors at $18.50 each:
6 motors cost 6 × $18.50 = $111.
Subtracting this from the total budget: $218 − $111 = $107 remaining.
Each sensor costs $12.75, so dividing the leftover funds: $107 ÷ $12.75 ≈ 8.38.

Since only whole sensors can be purchased, the team can buy 8 sensors with the remaining budget after 6 motors. This precise calculation reflects the real-world tradeoffs where every cent supports lasting design goals.

Key Insights

Common Questions About Budgeting for Robotics Teams

H3: Can a team afford both motors and sensors on a $218 budget?
Yes—with 6 motors using $111, $107 remains, sufficient for 8 sensors as shown. Leftovers also fund wiring, calibration tools, or small contingencies.

H3: How does this compare to bulk pricing or bulk buying?

Most electronics retailers offer consistent unit pricing. At $12.75 per sensor, bulk discounts rarely apply, but bulk buying still optimizes budget efficiency by minimizing per-unit overhead and shipping fees.

H3: What sensor types suit a $12.75 budget?

Final Thoughts

Affordable options include infrared proximity sensors, ultrasonic distance detectors, and basic motion sensors—common in education kits. These enable feedback without overspending.

Opportunities and Practical Considerations

Pros:
Limited funding fuels creativity—encouraging teams to innovate with precision.
This kind of budgeting teaches students real-world project management and cost awareness.
Sensors enhance functionality, improving accuracy and reliability in robot design.

Cons:
Tight budgets may limit access to advanced sensors, affecting system sophistication.
Small math missteps can deplete funds, risking missed components or delays.

Things People Often Get Wrong

Many assume a $218 budget covers a full system—yet motors alone use nearly half, limiting sensor variety. Others overlook that motor prices and unit costs fluctuate; fixing on one price sets a realistic baseline. Trust in current market data helps avoid disappointment.