Answer:
The equation representing the heights of each floor is ![8h= 6h+16](https://tex.z-dn.net/?f=8h%3D%206h%2B16)
Height of each floor is 8 feet.
Step-by-step explanation:
Let the height of each floor be h
Number of floors one building has = 8
Hence Total Height of the building can be calculated by multiplying height of each floor with Number of floors.
Framing in equation form we get.
Total Height of One building = ![8h](https://tex.z-dn.net/?f=8h)
Also
Ground floor of other building = 16 ft
Number of floors = 6
Hence Total Height of the building can be calculated by multiplying height of each floor with Number of floors plus the height of ground floor.
Total Height of Other building = ![6h+16](https://tex.z-dn.net/?f=6h%2B16)
Also Given:
Two buildings have the same total height.
Hence Total Height of One building = Total Height of Other building
![8h= 6h+16](https://tex.z-dn.net/?f=8h%3D%206h%2B16)
Hence The equation representing the heights of each floor is ![8h= 6h+16](https://tex.z-dn.net/?f=8h%3D%206h%2B16)
Now Solving these equation we get:
![8h= 6h+16](https://tex.z-dn.net/?f=8h%3D%206h%2B16)
We will first subtract 6h on both side using Subtraction Property of equality we get;
![8h-6h=6h+16-6h\\2h=16\\](https://tex.z-dn.net/?f=8h-6h%3D6h%2B16-6h%5C%5C2h%3D16%5C%5C)
Now Dividing 2 on both side using Division Property of equality we get;
![\frac{2h}{2}=\frac{16}{2}\\\\h=8\ ft](https://tex.z-dn.net/?f=%5Cfrac%7B2h%7D%7B2%7D%3D%5Cfrac%7B16%7D%7B2%7D%5C%5C%5C%5Ch%3D8%5C%20ft)
Hence Height of each floor is 8 feet.