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7. Luisa tiene una cuerda de 90 metros, otra de 60 metros y otra de 30 metros. Desea cortarlas de modo que todos los trozos sean iguales pero lo más largos posible.

a) ¿Cuánto deben medir los trozos de cuerda?
b) ¿Cuántos trozos obtendrá?


Sagot :

Final answer:

Luisa's ropes should be cut into 30m pieces to get the longest equal length, resulting in 9 pieces in total.


Explanation:

Luisa has three ropes of lengths 90m, 60m, and 30m. To cut them into equal pieces as long as possible:

  1. The length of each piece: 30m (the greatest common divisor of the rope lengths).
  2. Number of pieces obtained: 3 pieces from each rope, totaling 9 pieces.

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