It does not matter which funds were actually used for which charges. At tax time, you are free to allocate your expenses for the best tax outcome. There is one exception. If any part of the scholarship was "restricted" to being used for tuition, that much, of the scholarship, must be allocated to tuition.
What you want to do is allocate enough qualified educational expenses (QEE) (tuition, fees. books and a computer) to the AOC tuition credit, to get the maximum credit (it takes $4000 of QEE to get the max $2500 AOC). Then allocate to the scholarship to keep it tax free. Room and board are not QEE.
