With 20 pirates and 1000 pieces of gold:

Captain Jack gets 113 gold coins (151 if you count the 38 everyone in the crew gets)
First Mate gets 66 gold coins (104 if you count the 38 coins everyone in the crew gets)
The Crew gets 38 gold coins each
The PBA gets 7 gold coins.

What steps were taken to get these answers?

To find the answers, the following steps can be taken:

1. Start with the total number of pieces of gold, which is 1000.
2. Determine the amount of gold each pirate receives. To do this, divide the total number of pieces of gold by the number of pirates (20): 1000 gold ÷ 20 pirates = 50 gold coins per pirate.
3. Calculate how much gold Captain Jack receives, which is 113 gold coins. This information is given in the question, so no additional calculation is needed.
4. Calculate how much gold the First Mate receives, which is 66 gold coins. This information is given in the question.
5. Calculate how much gold the crew members receive individually, which is 38 gold coins each. This information is also given in the question.
6. Calculate how much gold the PBA (Preservation of Blackbeard's Astrolabe) gets, which is 7 gold coins. This information is given in the question.

Note: The question does not provide information about how the gold coins are distributed among the crew, so it assumes each member of the crew receives an equal share of the total gold allocated to the crew.