Question

Two buildings have the same total height.One building has 8 floors with height (h).The other building has a ground floor of 16 ft and 6 others floors with height (h).Write and solver an equation to find the height (h) of these F Mmk floors

Answer 1

The equation representing the heights of each floor is
`8h= 6h+16`

Height of each floor is 8 feet.

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`

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`

Also Given:

Two buildings have the same total height.

Hence Total Height of One building = Total Height of Other building

`8h= 6h+16`

Hence The equation representing the heights of each floor is
`8h= 6h+16`

Now Solving these equation we get:

`8h= 6h+16`

We will first subtract 6h on both side using Subtraction Property of equality we get;

`8h-6h=6h+16-6h\\2h=16\\`

Now Dividing 2 on both side using Division Property of equality we get;

`(2h)/(2)=(16)/(2)\\\\h=8\ ft`

Hence Height of each floor is 8 feet.