Question

An individual purchased 300 program licenses; 50 licenses will go to the satellite office out of state, and the remaining licenses will be distributed evenly over the central office departments. The satellite office has 6 departments and the central office has 8 departments. Do you have the information you need to solve for how many licenses each central office department will get?

Answer 1

Answer:We DO NOT HAVE ALL THE INFORMATION needed to solve for how many licenses each central office department will get.

Step-by-step explanation:

Now, if this very individual acquired about 300 program licenses and 50 licenses are taken or conveyed to the departments in the satellite office of the same organization, then the number of licenses that will be moved to the central office is:

300 - 50

= 250 licenses.

This implies that 250 licenses will be moved to the central office while 50 licenses will be kept/used at the satellite office.

Then, if there are eight (8) departments in the central office of this organization and 250 licenses will be evenly or equally distributed among the departments, each department will get:

250/8

= 31.25 licenses.

Since dividing 250 by 8 does not give a perfect integer, then there's an information we are yet to be furnished with. If 31 is multiplied by 8, it will give 248 which means that 2 licenses will be the remainder. If these 2 remaining licenses are shared equally between the 8 departments, one department will further get quarter of a license and we know licenses can't be shared or used in this manner.

Alternatively, of the 2 licenses remaining, two departments will have an extra license or one of the departments will have the 2 licenses which will now make the license distribution in the central office uneven.

So, we don't have all the information we need to solve for how many licenses each central office department will get.