Zaid and Matias, two farmers, constructed a 792 foot fence around their very large garden. Zaid agreed to construct 20% more of the fence than Matias did. How much of the fence did Zaid construct?

Respuesta :

Answer:

[tex] 1.2x +x =792[/tex]

[tex] 2.2x =792[/tex]

And we got finally:

[tex] x =\frac{792}{2.2}= 360 ft[/tex]

And the amount for Zaid would be 1.2*360 ft= 432ft

So then Zaid construc 432 ft and Matias 360 ft

Step-by-step explanation:

For this case we know that Zaid and Matias, two farmers, constructed a 792 foot fence around their very large garden so then the total is represented by 792 ft

We also know that Zaid agreed to construct 20% more of the fence than Matias did. Let's assume that the amount that construct by Matias was x then the amount constructed by Zaid would be 1.2 x representing 20% more than Matias and we can set up the following equation:

[tex] 1.2x +x =792[/tex]

[tex] 2.2x =792[/tex]

And we got finally:

[tex] x =\frac{792}{2.2}= 360 ft[/tex]

And the amount for Zaid would be 1.2*360 ft= 432ft

So then Zaid construc 432 ft and Matias 360 ft