SOLUTION: If the ratio of male students to female students in a class is 4:3, which of the following CANNOT be the number of students in the class? A) 14 b) 21 C) 28 D) 30 E) 35 P

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: If the ratio of male students to female students in a class is 4:3, which of the following CANNOT be the number of students in the class? A) 14 b) 21 C) 28 D) 30 E) 35 P      Log On


   



Question 474825: If the ratio of male students to female students in a class is 4:3, which of the following CANNOT be the number of students in the class?
A) 14
b) 21
C) 28
D) 30
E) 35
Please explain and show me how I can approach and solve this problem, thanks!

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
If the ratio of male students to female students in a class is 4:3, which of the following CANNOT be the number of students in the class?
A) 14
b) 21
C) 28
D) 30
E) 35
Please explain and show me how I can approach and solve this problem, thanks!

Since the ratio is 4:3, add them and get 7, so that means
that 4/7ths of them are males and 3/7ths are females, and that
there must be a multiple of 7 students, otherwise we'd get a
fraction when we took those fractions of them, and we can't have
a fraction of a student.
The only choice among those 5 that 7 won't divide evenly into is 30.
So the answer is D)
Edwin