Zane and Flynn had 105 marbles in total. Zane had 49 marbles less than Flynn at first. After Zane and Flynn played a game with Julie, Zane had ¹₈ as many marbles as Flynn. If Zane lost as many marbles as Flynn to Julie, find the number of marbles that Flynn lost to Julie.

	Zane	Flynn	Difference
Before	1 u	1 u + 49	49
Change	- ?	- ?
After	1 p	8 p	7 p

Total number of marbles at first
= 1 u + 1 u + 49 
= 2 u + 49

2 u + 49 = 105
2 u = 105 - 49
2 u = 56

1 u = 56 ÷ 2 = 28

Since Zane lost the same number of marbles as Flynn, the difference in the number of marbles between Zane and Flynn at first and in the end remains the same.

Difference in the number of marbles in the end
= 8 p - 1 p
= 7 p

7 p = 49

1 p = 49 ÷ 7 = 7

Number of marbles that Zane lost to Julie
= 1 u - 1 p
= 28 - 1 x 7
= 28 - 7
= 21

Since Flynn lost the same number of marbles as Zane, the number of marbles that each lost to Julie is the same.

Number of marbles that Flynn lost = 21

Answer(s): 21