If you want to study and work in France, you can become an "au pair" which means that you will live in a french family and will work in return.Your work will consist on taking care of the children and eventually you will be asked to do some housework. In exchange, not only you will be accommodated and fed by the family, but you will also receive a salary for your work.
Furthermore, you will have to take french courses, 10 hours per week. Therefore, the family will give you free time to study and our french school in france, inflexyon will adapt your classes schedule to your family's needs : for example you willl not have class on wednesdays so that you can take care of the children.

For more information : french courses for "au pair"