Jewellery Boxes

Can you find the value of the jewels?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem



Two boxes, P and Q, each contain 3 jewels.

When a jewel worth £5000 is transferred from P to Q, the average value of the jewels in each box increases by £1000.

What is the total value of all six jewels?