Lilly and her three friends bought some lamps and paid for them to be delivered to her home.

There were 4 tall lamps that cost $72.75 each.
There were 6 short lamps that cost $32.50 each.
There was a delivery fee of $50.


What is the total amount that each person paid?

The total cost of the tall lamps is 4 * $72.75 = $<<4*72.75=291>>291.

The total cost of the short lamps is 6 * $32.50 = $<<6*32.50=195>>195.
The total cost of the lamps is $291 + $195 = $<<291+195=486>>486.
Therefore, each person paid $486 + $50 / 4 = $<<486+50/4=498.5>>498.5. Answer: \boxed{498.5}.

To find out the total amount that each person paid, we need to calculate the cost of the lamps and the delivery fee, and then divide that sum by the number of people.

First, let's calculate the cost of the lamps.

The cost of 4 tall lamps at $72.75 each is 4 x $72.75 = $291.

The cost of 6 short lamps at $32.50 each is 6 x $32.50 = $195.

Now, let's calculate the total cost of the lamps by adding the cost of the tall lamps and the short lamps:

$291 + $195 = $486.

Next, we need to add the delivery fee of $50 to the total cost of the lamps:

$486 + $50 = $536.

Since there are four friends in total, we can divide the total amount by four to find out how much each person paid:

$536 / 4 = $134.

Therefore, each person paid $134 in total.