20. an office building has 30 employees and provides 42 square feet of work space per employee. if five more…

20. an office building has 30 employees and provides 42 square feet of work space per employee. if five more employees are hired, how much less work space will each employee have? (a) 6 square feet (b) 7 square feet (c) 7.5 square feet (d) 36 square feet

20. an office building has 30 employees and provides 42 square feet of work space per employee. if five more employees are hired, how much less work space will each employee have? (a) 6 square feet (b) 7 square feet (c) 7.5 square feet (d) 36 square feet

Answer

Explanation:

Step1: Calculate total work - space

The initial number of employees is $n_1 = 30$, and the work - space per employee is $s_1=42$ square feet. So the total work - space $W=n_1\times s_1=30\times42 = 1260$ square feet.

Step2: Calculate new number of employees

Five more employees are hired, so the new number of employees $n_2=n_1 + 5=30 + 5=35$.

Step3: Calculate new work - space per employee

The total work - space remains the same. So the new work - space per employee $s_2=\frac{W}{n_2}=\frac{1260}{35}=36$ square feet.

Step4: Calculate the difference in work - space per employee

The difference $\Delta s=s_1 - s_2=42-36 = 6$ square feet.

Answer:

A. 6 square feet