Ahmad and Julian had 74 beads in total. Ahmad had 10 beads less than Julian at first. After Ahmad and Julian played a game with Jen, Ahmad had ¹₆ as many beads as Julian. If Ahmad lost as many beads as Julian to Jen, find the number of beads that Julian lost to Jen.

	Ahmad	Julian	Difference
Before	1 u	1 u + 10	10
Change	- ?	- ?
After	1 p	6 p	5 p

Total number of beads at first
= 1 u + 1 u + 10 
= 2 u + 10

2 u + 10 = 74
2 u = 74 - 10
2 u = 64

1 u = 64 ÷ 2 = 32

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

Difference in the number of beads in the end
= 6 p - 1 p
= 5 p

5 p = 10

1 p = 10 ÷ 5 = 2

Number of beads that Ahmad lost to Jen
= 1 u - 1 p
= 32 - 1 x 2
= 32 - 2
= 30

Since Julian lost the same number of beads as Ahmad, the number of beads that each lost to Jen is the same.

Number of beads that Julian lost = 30

Answer(s): 30