contestada

aaron and john have 56 m of rope altogether. aaron's rope is 3 times as long as john's rope. What is the length of aaron's rope

Respuesta :

Nandhitha1098

Answer: Aaron and john have 56 m of rope altogether. Aaron's rope is 3 times as long as john's rope. Then the length of Aaron's rope is 42m.

Explanation: To solve this problem, we need some basic mathematic problems relating variables.

How to solve the problem?

  • Here, we have given that, the total length of the rope, that both Aron and John have as, 56m.
  • We can rewrite it in terms of equation such as,

                     [tex]L_A+L_J=56m[/tex]        , where La is the length of Aron's rope   and Lb is that of John's rope.

  • The length of Aron's rope is 3 times equal to that of John's rope. It leads to the equation,

                           [tex]L_A=3L_J[/tex]

  • We can substitute above equation in the first equation,

                      [tex]3L_J+L_J=56\\4L_J=56\\L_J=\frac{56}{4}=14m[/tex]

  • Thus, the length of Aron's rope will be,

                    [tex]L_A=3*L_J=3*14=42 m[/tex]

Thus, from the above calculations, we can conclude that, the length of Aaron's rope is 42m.

Learn more about basic mathematic problems relating variables here:

https://brainly.com/question/28027318

#SPJ4