GMATDemiGod wrote:
Engr2012 wrote:
Gmat1008 wrote:
A nonprofit group organizes its local fundraisers in teams, with each of its L team leaders responsible for D group directors, and each of those D group directors responsible for F fundraisers. If the only three positions on each local team are team leaders, group directors, and fundraisers, and there are more group directors than team leaders, how many team leaders are on the Dallas team?
(1) There are 81 total members on the Dallas team
(2) There are 5 group directors on the Dallas team
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Hey is there anyway you can provide a clear solution to this?
I am having a hard time interpreting the stimulus
Thanks
Sure. Look below.
The question tells us that there are L leads, each with D directors and each D has F fundraisers. The question is asking you L=?
Now assume some smaller values to make sense of the given information. Lets say there is 1 lead, 2 directors for this 1 lead and in turn each of the 2 directors has 3 fundraisers.
Thus the total number of people = 1+2+6 = 9 ---> Also equal to L+LD+DF (you can try with different combinations).
Per statement 1, L + L*D + L*D*F = 81 ---> L(1+D+DF) = 81 ---> 81/L MUST be an integer ---> L = multiple of 3 or 1
As mentioned above, the possible combinations are L = 1, D = 2, and F = 39; or L = 3, D = 13, and F = 1 or L = 1, D = 5, and F = 15 are the only possible cases.
Thus you get 2 different values of L. NOT sufficient.
Per statement 2, D=5 , this clearly eliminates 2 of the 3 cases we looked at in S1. Thus, this statement is sufficient.
B is thus the correct answer.
Hope this helps.