SOLUTION: Here's my question: Students in a group dancing class are spaced evenly around a circle and are then counted off consecutively from number 1. Student 20 is directly opposite stu

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Question 983703: Here's my question:
Students in a group dancing class are spaced evenly around a circle and are then counted off consecutively from number 1. Student 20 is directly opposite student 53. How many students are there in the group?
Please explain your answer and thank you so much! :)
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Two fewer students are on the other part of the circle.

...
Students 20 to 53 account for 34 students.
The index for the other students #1 to #19 and #53 and after are a count of 34-2=32 students.

This is 34%2B32=highlight%2866%29 students.