Can you solve a 3,500-year-old maths puzzle?

From Standup Mathematician.

Pre-order a signed 1st edition of Love Triangle now: https://mathsgear.co.uk/products/love-triangle-by-matt-parker-signed
All UK options: https://www.penguin.co.uk/books/443151/love-triangle-by-parker-matt/9780241505694
All USA options: https://bit.ly/3wCTesR

Hugh thanks to the British Museum for getting the papyrus out of storage for me to see. You can watch the other non-papyrus video I made with them over here: https://youtu.be/WctTJVdsISE

If you want to have a closer look at the maths on the papyrus, there are scans on the British Museum site: https://www.britishmuseum.org/collection/object/Y_EA10058

CAN YOU SOLVE IT:
You have to divide 100 loaves between 5 men in such a way that the shares received shall be in arithmetical progression. And that 1/7 of the sum of the largest 3 shares shall be equal to the sum of the smallest 2. What is the difference of the shares?

Huge thanks to my Patreon supporters. They keep my bread fairly divided. https://www.patreon.com/standupmaths

CORRECTIONS
– None yet, let me know if you spot anything!

Filming by Alex Genn-Bash
Editing by Gus Melton
Written and performed by Matt Parker
Produced by Nicole Jacobus
Music by Howard Carter
Design by Simon Wright and Adam Robinson

MATT PARKER: Stand-up Mathematician
Website: http://standupmaths.com/
US book: https://www.penguinrandomhouse.com/books/610964/humble-pi-by-matt-parker/
UK book: https://mathsgear.co.uk/collections/books/products/humble-pi-signed-paperback