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.

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