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Work-rate/cutting logic: Calculate how many rolls are cut in the allotted time. Context: Each roll is cut into 10 equal pieces (thus 9 cuts per roll). Cutting speed = 45 cuts per minute. Time allowed = 24 minutes. Choose the correct number of rolls completed.

Difficulty: Easy

Correct Answer: 120 rolls

Explanation:


Given data

  • Pieces per roll = 10 ⇒ Cuts per roll = pieces − 1 = 9
  • Cutting rate = 45 cuts/min
  • Time = 24 min


Step-by-Step calculation
Total cuts = 45 × 24 = 1080 cuts Rolls completed = Total cuts ÷ Cuts per roll = 1080 ÷ 9 = 120 rolls


Verification
120 rolls × 9 cuts/roll = 1080 cuts (matches total).


Common pitfalls
Using 10 cuts per roll (forgetting that n pieces require n−1 cuts).


Final Answer
120 rolls

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