SOLUTION: Some friends decided to make a week-long bike trip, with some of them leaving or joining the trip long the way. Two-thirds of the group wanted to try and go the entire distance.

Question 207361: Some friends decided to make a week-long bike trip, with some of them leaving or joining the trip long the way. Two-thirds of the group wanted to try and go the entire distance. After the first day 1/3 of the bikers left. On the second day, they got 8 new bikers. At the end of the second day, they lost 3/7 of the group. On the third day they gained 2 new bikers and at the end of the day 2/5 of the group left. Five new bikers joined up on the fourth day and they lost 3 at the end of the day. On the fifth day, they picked up 4, and then lost 1/4 of the total group. On the sixth day they got 4 new ones and at the end of the day 6 departed. On the seventh day, 7 bikers finished the trip. Did the group that wanted to go the whole way make it?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Some friends decided to make a week-long bike trip, with some of them leaving or joining the trip long the way. Two-thirds of the group wanted to try and go the entire distance. After the first day 1/3 of the bikers left. On the second day, they got 8 new bikers. At the end of the second day, they lost 3/7 of the group. On the third day they gained 2 new bikers and at the end of the day 2/5 of the group left. Five new bikers joined up on the fourth day and they lost 3 at the end of the day. On the fifth day, they picked up 4, and then lost 1/4 of the total group. On the sixth day they got 4 new ones and at the end of the day 6 departed. On the seventh day, 7 bikers finished the trip. Did the group that wanted to go the whole way make it?
:
Obviously not. 7 is not of an integer
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