Owen and Reggie had 88 marbles in total. Reggie had 32 marbles more than Owen at first. After Owen and Reggie played a game with Tammy, Owen had ¹₅ as many marbles as Reggie. If Owen lost as many marbles as Reggie to Tammy, find the number of marbles that Owen lost to Tammy.

	Owen	Reggie	Difference
Before	1 u	1 u + 32	32
Change	- ?	- ?
After	1 p	5 p	4 p

Total number of marbles at first
= 1 u + 1 u + 32 
= 2 u + 32

2 u + 32 = 88
2 u = 88 - 32
2 u = 56

1 u = 56 ÷ 2 = 28

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

Difference in the number of marbles in the end
= 5 p - 1 p
= 4 p

4 p = 32

1 p = 32 ÷ 4 = 8

Number of marbles that Owen lost to Tammy
= 1 u - 1 p
= 28 - 1 x 8
= 28 - 8
= 20

Answer(s): 20