To find out how many beads the jeweler has after buying the boxes, we can multiply the number of boxes by the number of beads in each box.
The jeweler buys 48 boxes, and each box contains 400 beads:
\[ \text{Total beads} = \text{Number of boxes} \times \text{Beads per box} \] \[ \text{Total beads} = 48 \times 400 \] \[ \text{Total beads} = 19200 \]
The jeweler has 19,200 beads after buying the boxes.
Since the jeweler needs exactly 19,000 beads, we can check how many excess beads he has:
\[ \text{Excess beads} = \text{Total beads} - \text{Beads needed} \] \[ \text{Excess beads} = 19200 - 19000 \] \[ \text{Excess beads} = 200 \]
So, the jeweler has 19,200 beads, which is 200 beads more than he needs for his jewelry.