Carcass wrote:
Each person in a room is a junior or a senior. The number of juniors in the room is 7 times the number of seniors. Which of the following could be the number of people in the room?
Indicate all such numbers.
A. 14
B. 26
C. 35
D. 48
E. 49
F. 63
Kudos for the right answer and explanation
Here,
Person cannot be fraction,
If no. of senior = 1 then no. of juniors = 7 and the total no. of People in the room = 8
Now, check the options that is divisible by 8, only option D is divisible by 8 and is the answer.
Moreover,Let the no. of seniors = X
and no. of juniors = 7X
Total no. of people = T
therefore,
X + 7X = T
or 8X = T
or X = \(\frac{T}{8}\)
Hence, the total no. of people should be divisible by 8