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?

Difficulty: Easy

Correct Answer: 5

Explanation:


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

More Questions from Number System

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion