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Alice, Betty and Carol are playing a game with 48 marbles in a
circle. Alice takes 2 marbles, Betty takes 4 marbles and Carol
takes 6 marbles. One of them (not saying which one) now takes
as many marbles as she did the first time. Another girl takes
twice as many as she had taken before and the remaining girl
takes 4 times as many as before. There are now 10 marbles left
in the circle. Which girl took the same amount as the first time?

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  • 1. Alice, Betty and Carol are playing a game with 48 marbles in a circle. Alice takes 2 marbles, Betty takes 4 marbles and Carol takes 6 marbles. One of them (not saying which one) now takes as many marbles as she did the first time. Another girl takes twice as many as she had taken before and the remaining girl takes 4 times as many as before. There are now 10 marbles left in the circle. Which girl took the same amount as the first time?