Mo2men wrote:
GMATPrepNow wrote:
Mo2men wrote:
Hi Brent,
Thanks for your care to answer my concern. I felt the same like you. However, the creator in his question put as follows :
Let number of salesmen = S, and guests =G
0.8 S * 5 = 0.4 G ...I do not understand the logic behind this step. Do you have any explanation that stems from the question above??
Again thanks
If S = number of salesmen, then 0.8S = number of salesmen who participated in sessions.
Each of those 0.8S salesmen had 5 sessions.
So, (5)(0.8S) = TOTAL number of sessions.
Likewise, 0.4G = number of guests who participated in sessions.
We aren't told how many sessions each of these 0.4G guests attended.
So, let k = number of sessions EACH guest attended
So, (k)(0.4G) = TOTAL number of sessions.
NOW, we can write: (5)(0.8S) = (k)(0.4G)
Thanks again Brent But is not total number of sessions = (k)(0.4G) + (5)(0.8S)...So it is still unclear to me established equation..
Can you please bear with with me and elaborate more?
Thanks in advance
The problem is that we don't have enough information (in my opinion)
I'm going to
assume that each Guest attends exactly ONE session.
In other words, k = 1
Let's see what happens....
We get:
If S = number of salesmen, then 0.8S = number of salesmen who participated in sessions.
Each of those 0.8S salesmen had 5 sessions.
So, (5)(0.8S) = TOTAL number of sessions.
Likewise, 0.4G = number of guests who participated in sessions.
We aren't told how many sessions each of these 0.4G guests attended.
IF we assume that each guest attends exactly
one session, then (1)(0.4G) = TOTAL number of sessions.
NOW, we can write: (5)(0.8S) = (1)(0.4G)
Simplify: 4S = 0.4G
Divide both sides by 0.4 to get:
10S = GAt this point, we have all of the info we need.
If there are G guests, and 40% of them participated in one-on-one information sessions
Then the number of GUEST session attendees = 0.4G
Since,
10S = G, we can also write: the number of GUEST session attendees = 0.4(
10S) = 4S
From earlier, we also know that the number of SALESMEN session attendees =
0.8SSo, the TOTAL number of SESSION attendees 4S +
0.8S = 4.8S
Now the TOTAL number of PARTY attendees = G + S
=
10S + S
= 11S
So, the percentage of the attendees involved in the one-on-one information sessions = 4.8S/11S ≈ 43.6%
Okay, that's pretty much all the time I want to devote to this question.
Cheers,
Brent
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