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

$\text{ square feet needed for 1 employee } = \frac{7500 square feet}{320 employee}$

$\text{ square feet needed for 1 employee } = \frac{7500}{320} = 23.4375$

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

$\text{ square feet needed for 1 employee } = \frac{9500}{370}\\\\\text{ square feet needed for 1 employee } = 25.675$

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