Packaging and transport capacity: Each box holds 5 dozen toys and 98 boxes fit in one tempo. How many tempos are needed to lift 29,400 toys in one round?

Introduction / Context:
This is a capacity and batching problem. We convert “dozens” to units, find the number of toys per box, then compute toys per tempo and finally the number of tempos required for the total. Careful stepwise conversion prevents miscounts.

Given Data / Assumptions:

• 1 box = 5 dozen toys = 60 toys
• 1 tempo holds 98 boxes
• Total toys to move = 29,400

Concept / Approach:
First, compute toys per tempo: (toys/box) * (boxes/tempo). Then, divide the overall requirement by per-tempo capacity. Since the numbers divide cleanly, no rounding ambiguity arises.

Step-by-Step Solution:

Verification / Alternative check:
Back-check: 5 tempos * 5880 toys/tempo = 29,400 toys, matching the target exactly, confirming the division was exact and no extra tempo is necessary.

Why Other Options Are Wrong:

• 4, 6, 7, 8: These would transport fewer or more toys than required in one round. Only 5 meets the exact total without deficit or surplus.

Common Pitfalls:
Using 5 toys = 1 dozen (reversing the definition) or forgetting to multiply by 98 boxes per tempo. Always convert dozens properly (1 dozen = 12).

Final Answer:
5