Rael and Jeremy had 116 marbles in total. Jeremy had 36 marbles more than Rael at first. After Rael and Jeremy played a game with Jane, Rael had ²₅ as many marbles as Jeremy. If Rael lost as many marbles as Jeremy to Jane, find the number of marbles that Rael lost to Jane.

	Rael	Jeremy	Difference
Before	1 u	1 u + 36	36
Change	- ?	- ?
After	2 p	5 p	3 p

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

2 u + 36 = 116
2 u = 116 - 36
2 u = 80

1 u = 80 ÷ 2 = 40

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

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

3 p = 36

1 p = 36 ÷ 3 = 12

Number of marbles that Rael lost to Jane
= 1 u - 2 p
= 40 - 2 x 12
= 40 - 24
= 16

Answer(s): 16