Your robotics club qualified for the state competition. You are the team's purchasing engineer — order the parts, split the costs, and bring the team in under budget using sharp number sense.
The club has a $500 parts budget and 8 team members. Move through four phases that put decimal multiplication, multi-digit division, and factor reasoning to work. Calculate, check, and finish with a recommendation memo to your coach.
Each part has a unit price. Multiply price × quantity for each line, then read your subtotal.
| Part | Unit price | Quantity |
|---|---|---|
| Motor | $ | |
| Wheel set | $ | |
| Sensor | $ |
Count decimal places: 18.75 (2 places) × 4 (0 places) = 75.00 (2 places). Add all three line totals.
Eight teammates split the shared cost equally. Divide to find each person's fair share.
Divide the total by the number of members. $384.00 ÷ 8 = $48.00 each.
You have screws and bolts to sort into identical kits with none left over. The number of kits is the GCF of the two counts.
GCF(72, 54): both divide by 18 → 4 kits would be wrong; 18 is the GCF, so 18 kits with 4 screws and 3 bolts each.
Combine your parts subtotal with travel and snacks, then check the budget.
Write a 3–5 sentence memo recommending whether the team should approve this order. Use your real numbers.
| Category | 4 — Expert | 3 — Proficient | 2 — Developing |
|---|---|---|---|
| Decimal Multiplication | All line totals accurate; place value perfect | Subtotal accurate | Minor decimal errors |
| Division | Fair share correct and division check correct | Fair share correct | Attempted with one error |
| Factors (GCF) | Correct number of kits with contents explained | Correct GCF | Partial factor reasoning |
| Communication | Memo justifies recommendation with every number | Memo uses most numbers | Memo unclear or missing data |