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The total height of an office building b and the granite statue that stands on top of it g is 326.6 feet. The difference in heigths between the building and statue is 295.4 feet. How tall is the building? How tall is the statue?

Respuesta :

JeanaShupp

Answer: The height of building is 311 feet and the height of statue is 15.6 feet.


Step-by-step explanation:

Let the height of the building be 'b' and the height of the statue be 'g'.

Then according to the question, we get the following equation

[tex]b+g=326.6.......(1)\\b-g=295.4............(2)[/tex]

Now, add both the equations, we get

[tex]2b=622\\\Rightarrow\ b=311[/tex]

Substitute the value of b in equation (2), we get

[tex]311-g=295.4\\\Rightarrow\ g=311-295.4\\\Rightarrow\ g=15.6[/tex]

Hence, the height of building = 311 feet and the height of statue =15.6 feet.


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