## 9. Distribution of Euros

Ana, Janko, and Tara have certain amounts of euros and want to redistribute them among themselves. First, Ana gives Janko and Tara a portion of her money so that after this, both Janko and Tara have twice as much money as they had before. Then, Janko gives Ana and Tara a portion of his money so that after this, both Ana and Tara have twice as much money as they had before. Finally, Tara gives Ana and Janko a portion of her money so that after this, both Ana and Janko have twice as much money as they had before. If Tara has 73 euros at the beginning and at the end, how many euros do Ana, Janko, and Tara have in total?

Result: $\quad 511$
## Solution.

After the first step, Tara has 146 €, and after the second step, she has 292 €. Since at the end, after the third step, she has 73 €, she gave Ana and Janko $292-73=219 €$.

The amount of 219 € doubled the total amount that Ana and Janko had before.

Ana and Janko end up with $219+219=438 €$. Tara ends up with $73 €$.

Together, Ana, Janko, and Tara have $438+73=511 €$.