Mark and Jeremy had 106 beads in total. Mark had 24 beads less than Jeremy at first. After Mark and Jeremy played a game with Pamela, Mark had ³₅ as many beads as Jeremy. If Mark lost as many beads as Jeremy to Pamela, find the number of beads that Jeremy lost to Pamela.

	Mark	Jeremy	Difference
Before	1 u	1 u + 24	24
Change	- ?	- ?
After	3 p	5 p	2 p

Total number of beads at first
= 1 u + 1 u + 24 
= 2 u + 24

2 u + 24 = 106
2 u = 106 - 24
2 u = 82

1 u = 82 ÷ 2 = 41

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

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

2 p = 24

1 p = 24 ÷ 2 = 12

Number of beads that Mark lost to Pamela
= 1 u - 3 p
= 41 - 3 x 12
= 41 - 36
= 5

Since Jeremy lost the same number of beads as Mark, the number of beads that each lost to Pamela is the same.

Number of beads that Jeremy lost = 5

Answer(s): 5