Question 40592: Joanne sets up her Ninja turtles in a big circle with each turtle spaced an equal distance from its neighbors. She then proceeds to count them in order around the circle. Unfortunately, she loses track of where she started before she finishes counting. But she realizes that she can still figure out how many turtles are in the circle by noticing that the sixth turtle is directly opposite the 17th turtle. How many Ninja turtles are in the circle?
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Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website! I count 22
turtle number 6 and turtle number 17 are opposite eachother.
All the turtles are evenly spaced.
If I count 6, 7, 8, up to 17, I get 12 turtles. There are 10
turtles, evenly spaced, on either side of 6 and 17, which
are at opposite ends of a diameter.
Of the 10 turtles on the other side, I know there is 1,2,3,4,5
That leaves 5 more and they are greater than 17, starting
with 18 they go 18,19,20,21,22
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