Math Problem : FF.7 Pass money among three persons

Three persons, Taro, Jiro, and Hanako, had some money, respectively.

Taro passed the half of money in hand to Jiro.

Next, Jiro passed 1/3 of the money in hand to Hanako.

Then, Hanako’s money in hand became the same as the money in hand which Taro had first.

Moreover, the ratio of the money in hand of Taro and Jiro became to 9 : 11.

When the total amount of money of three persons is 7600 yen, find the money in hand which Jiro had first.

Answer

1500 yen