Respuesta :
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
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