Question

building A has 7500 square feet of office space for 320 employees. building B has 9500 square feet of office space for 370 employees.which building offers more square feet per employee, and how much more

Answer 1

Building B offers more square feet per employee

Building B offers 2.2375 square feet more space for 1 employee than building A

Solution:

Building A has 7500 square feet of office space for 320 employee

Let us find the square feet needed for 1 employee

`\text{ square feet needed for 1 employee } = (7500 square feet)/(320 employee)`

`\text{ square feet needed for 1 employee } = (7500)/(320) = 23.4375`

Thus unit rate for building A is 23.4375 square feet per employee

Building B has 9500 square feet of office space for 370 employees

`\text{ square feet needed for 1 employee } = (9500)/(370)\\\\\text{ square feet needed for 1 employee } = 25.675`

Thus unit rate for building B is 25.675 square feet per employee

On comparing the unit rate of both buildings, we can clearly see that Building B offers more square feet per employee

To find out how much more Building B offers more square feet per employee than building A, we can find difference between unit rates of both buildings

`\rightarrow 25.675 - 23.4375 = 2.2375`

Thus Building B offers 2.2375 square feet more space for 1 employee than Building A