Tommy and Peter had 102 beads in total. Peter had 36 beads more than Tommy at first. After Tommy and Peter played a game with Raeann, Tommy had ²₅ as many beads as Peter. If Tommy lost as many beads as Peter to Raeann, find the number of beads that Tommy lost to Raeann.

	Tommy	Peter	Difference
Before	1 u	1 u + 36	36
Change	- ?	- ?
After	2 p	5 p	3 p

Total number of beads at first
= 1 u + 1 u + 36 
= 2 u + 36

2 u + 36 = 102
2 u = 102 - 36
2 u = 66

1 u = 66 ÷ 2 = 33

Since Tommy lost the same number of beads as Peter, the difference in the number of beads between Tommy and Peter at first and in the end remains the same.

Difference in the number of beads in the end
= 5 p - 2 p
= 3 p

3 p = 36

1 p = 36 ÷ 3 = 12

Number of beads that Tommy lost to Raeann
= 1 u - 2 p
= 33 - 2 x 12
= 33 - 24
= 9

Answer(s): 9