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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) (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
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