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9. Testorni Salutfir tiene una cuerda de 90 metros, otra de 50 metros y otra de 40 metros. Desea cortarlas de modo que todos los trozos sean iguales pero lo más largos posible.

¿Cuánto deben medir los trozos de cuerda y cuántas cuerdas obtendrá?

(20 puntos)

Sagot :

GinnyAnsweridn

Final answer:

To obtain equal longest rope pieces from ropes of different lengths, find the gcd of the rope lengths. In this case, 10 meters would be the longest equal pieces. Testorni Salutfir would get 0.9 ropes from the 90-meter rope, 0.5 ropes from the 50-meter rope, and 0.4 ropes from the 40-meter rope.


Explanation:

To find the equal longest possible pieces of rope, we calculate the greatest common divisor (gcd) of the rope lengths. The gcd of 90, 50, and 40 is 10. Therefore, each piece of rope would be 10 meters long.

Testorni Salutfir will obtain:

  • 9 meters / 10 = 0.9 ropes of 10 meters each from the 90-meter rope
  • 5 meters / 10 = 0.5 ropes of 10 meters each from the 50-meter rope
  • 4 meters / 10 = 0.4 ropes of 10 meters each from the 40-meter rope

Learn more about Equal rope lengths and division here:

https://brainly.com/question/26209088


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