Jeremy and Harry had 110 marbles in total. Jeremy had 40 marbles less than Harry at first. After Jeremy and Harry played a game with Gillian, Jeremy had ³₈ as many marbles as Harry. If Jeremy lost as many marbles as Harry to Gillian, find the number of marbles that Harry lost to Gillian.

	Jeremy	Harry	Difference
Before	1 u	1 u + 40	40
Change	- ?	- ?
After	3 p	8 p	5 p

Total number of marbles at first
= 1 u + 1 u + 40 
= 2 u + 40

2 u + 40 = 110
2 u = 110 - 40
2 u = 70

1 u = 70 ÷ 2 = 35

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

Difference in the number of marbles in the end
= 8 p - 3 p
= 5 p

5 p = 40

1 p = 40 ÷ 5 = 8

Number of marbles that Jeremy lost to Gillian
= 1 u - 3 p
= 35 - 3 x 8
= 35 - 24
= 11

Since Harry lost the same number of marbles as Jeremy, the number of marbles that each lost to Gillian is the same.

Number of marbles that Harry lost = 11

Answer(s): 11