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Question

A piece of rope is cut into two smaller pieces, with one piece 90 cm longer than the other . The shorter piece is cut into strips of 20 cm each. The are 20 more strips of 15 cm than20 cm altogether. What is the length of the original piece of rope ?

Answer

Something missing in the question.
Maybe the 90 cm longer piece, is cut into strips of 15 cm each?

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This is a Quantity Each Product question.

   Quantity Each     Product 
Short  1u 20 20u
Long   1u + 20 15 15u + 300 
      30u + 300

15u + 300 = 20u + 90

300 – 90 = 20u – 15u

5u = 210

1u = 210 ÷ 5 = 42 

30u = 42 ×30 = 1260

1260 + 300 = 1560 cm

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Each short piece is 15 cm length. We tried your method and got solution

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