SOLUTION: A office is being remodeled. The room is 2800 sq ft and they need to know how many cubicles to put in the office. A managers desk is 7 by 7 and employee desk is 6 by 5. How many c

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A office is being remodeled. The room is 2800 sq ft and they need to know how many cubicles to put in the office. A managers desk is 7 by 7 and employee desk is 6 by 5. How many c      Log On


   



Question 759366: A office is being remodeled. The room is 2800 sq ft and they need to know how many cubicles to put in the office. A managers desk is 7 by 7 and employee desk is
6 by 5. How many cubicles can be places in the room if there needs to be 2 manager's desk for every 5 employee?
So really do not know where to go with this problem. So far I know the managers desk are 49 sq ft and the employees desk are 30 sq ft.
Thank you.

Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!
You found some of the correct ideas.
m for how many managers, e for how many employees.
manager area is 49 sq ft, employee area is 30 sq ft.

Account for the 2800 sq ft area:
49%2Am%2B30%2Ae=2800

A ratio was given. m%2Fe=2%2F5

Let me stop right there. What is important is that you read and analyze the information formed, before developing further through the solution.


--------------------continuing------
Let's try this:
From the area equation,
49m=2800-30e
m=2800%2F49-30e%2F49
and
m=2e%2F5 from the ratio.
Meaning, 2800%2F49-30e%2F49=2e%2F5
.
.
%282800%2A5%29%2F%28150%2B98%29=e
e=56.45, but best to say 56
meaning
m=22.58, but best to say 22