Number System — Five dozen toys are packed per box, and 98 boxes fit in one tempo. How many tempos are needed to transport 29400 toys in a single round?

Introduction / Context:This logistics arithmetic problem requires converting dozens to units, computing capacity per tempo, and then dividing the total demand by that capacity. Clear unit handling (dozen = 12) prevents mistakes and leads to an exact count of tempos required.

Given Data / Assumptions:

• 5 dozen toys per box → 60 toys per box.
• 98 boxes per tempo.
• Total toys to move = 29400.

Concept / Approach:Capacity per tempo = (toys per box) * (boxes per tempo). Then tempos needed = total toys / capacity per tempo. Exact division indicates no partial tempos are required; if a remainder existed, we would round up to the next integer.

Step-by-Step Solution:1) Convert: 5 dozen = 5 * 12 = 60 toys per box.2) Capacity per tempo = 60 * 98 = 5880 toys.3) Required tempos = 29400 / 5880 = 5.4) Therefore, 5 tempos are needed for one round.

Verification / Alternative check:Reverse check: 5 tempos * 5880 toys/tempo = 29400 toys, matching the requirement exactly.

Why Other Options Are Wrong:4 and 6 would give 23520 or 35280 toys respectively, not 29400; 7 and 8 overshoot capacity even more.

Common Pitfalls:Using 10 instead of 12 for a dozen; mixing up boxes per tempo; forgetting to multiply both factors before dividing total toys.

Final Answer:5