Respuesta :
Answer:
The equation representing the heights of each floor is [tex]8h= 6h+16[/tex]
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 = [tex]8h[/tex]
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 = [tex]6h+16[/tex]
Also Given:
Two buildings have the same total height.
Hence Total Height of One building = Total Height of Other building
[tex]8h= 6h+16[/tex]
Hence The equation representing the heights of each floor is [tex]8h= 6h+16[/tex]
Now Solving these equation we get:
[tex]8h= 6h+16[/tex]
We will first subtract 6h on both side using Subtraction Property of equality we get;
[tex]8h-6h=6h+16-6h\\2h=16\\[/tex]
Now Dividing 2 on both side using Division Property of equality we get;
[tex]\frac{2h}{2}=\frac{16}{2}\\\\h=8\ ft[/tex]
Hence Height of each floor is 8 feet.
