Math Forum - Problem of the Week Swapping Marbles * Mentor Group at Work Khari, Tesia, and Breen were playing marbles one afternoon. Each had a different number of marbles. They decided to see if they could nd an interesting way to make it _- soeaeh ofthemhad the same number of marbles. Khari gave enough of his to Tesia and Breen so that each of them doubled the amount they started with. Tesia then did the same, giving each of the others enough marbles to double the number that they each had. Finally, Breen did the same thing, giving Khari and Tesia enough marbles to double the number they each bad. When they were nished, they found their method had not worked very well. Tesia had 8 more than twice as many marbles as Breen, and Khari had twice as many as Tesia. Question: Which child gained the most marbles during the swapping process and how many did they gain? Extra: What ratio of marbles must Khari, Tesia, and Breen start with in order for them to each have an equal number of marbles after the three swaps