Pupil 47 Opposite Pupil 16 in the Circle
Date: 09/17/2002 at 18:26:24 From: Zachary Small Subject: Math word problem If, in Mr. Simmons' class, pupil 47 is opposite pupil 16 when the group is seated in a circle, how many students are in the class? I am stuck. I have tried to do division, addition, subtraction, geometry, etc. Zachary
Date: 09/18/2002 at 10:58:02 From: Doctor Ian Subject: Re: Math word problem Hi Zachary, Let's make a drawing of the situation. (When you don't know what else to do, that's often a good place to start.) 31 students #16 #47 15 students ? students \_________________________/ 31 students If you go clockwise from student #16 to student #47, you have to pass by 31 students, right? If they're on opposite sides of a circle, then you'd have to pass 31 more students in order to get all the way around to #16 again. This second group includes students #1 through #15... so how many _other_ students does it have to include? And what does that tell you about the total number of students? Can you take it from here? - Doctor Ian, The Math Forum http://mathforum.org/dr.math/
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