Question
Three girls, Diana, Elyse and Natalie had a total of 4260 beads. Some exchanges were made. First, Diana gave Elyse as many beads as Elyse had. After that, Elyse gave 13 of whatever she had then to Natalie. Finally, Natalie gave 15 of whatever she had to Diana. As a result, they each had the same number of beads. How many beads did Diana have at first?
5 m

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Three girls, Diana, Elyse and Natalie had a total of 4260 beads. Some exchanges were made. First, Diana gave Elyse as many beads as Elyse had. After that, Elyse gave 13 of whatever she had then to Natalie. Finally, Natalie gave 15 of whatever she had to Diana. As a result, they each had the same number of beads. How many beads did Diana have at first?