You have ten pigeons. You want to give these pigeons away to some of your friends. The first friend picks a number of pigeons of her choice for herself. After that you give away the remaining pigeons to the rest of your friends. If you give each of them $3$ pigeons, $5$ are left and if you give each of them $5$ pigeons, $3$ are left. How many pigeons did your first friend choose for herself?