Respuesta :
Answer:
7 topics will be discussed by the 6 person groups.
Step-by-step explanation:
Let F represents the number of topics discussed by 4 persons group and S represents the number of topics discussed by 6 persons group.
There are total 94 persons
4F + 6S = 94
4F = 94 - 6S
F = (94 - 6S)/4 eq. 1
The discussion has been divided into 20 subtopics
F + S = 20 eq. 2
Substitute eq. 1 into eq. 2
(94 - 6S)/4 + S = 20
(94 - 6S)/4 = 20 - S
94 - 6S = 4(20 - S)
94 - 6S = 80 - 4S
- 6S + 4S = 80 - 94
-2S = - 14
S = 14/2
S = 7
Therefore, 7 topics will be discussed by the 6 person groups.
Bonus:
The number of topics discussed by the 4 person groups can be found by substituting the value of S into eq. 1
F = (94 - 6S)/4
F = (94 - 6*7)/4
F = (94 - 42)/4
F = 52/4
F = 13
Verification:
The sum of F and S should be equal to 20 as per eq. 2
F + S = 20
13 + 7 = 20
20 = 20
Hence, solution is verified.
