A box contained black beads and white beads. At first, the number of black
beads was \( {1 \over 3}\) the number of white beads. After \( {1 \over 4}\) of the black beads and
\( {3\over 8}\) of the white beads were used, 63 beads were left.
(a) What fraction of the beads were used?
Leave your answer in the simplest form.
(b) How many beads were there in the box at first?