Roshel had the same number of purple, black and green marbles at first. After giving some purple and black marbles and 68 green marbles away, Roshel had 191 marbles left. There were 2 times as many purple marbles as black marbles left. The number of green marbles left was 14 fewer than the number of purple marbles left. How many green marbles did she have at first?

	Black	Purple	Green	Total
Before	2 u + 54	2 u + 54	2 u + 54
Change	- 1 u - 54	- 54	- 68
After	1 u	2 u	2 u - 14	191

Roshel had the same number of purple, black and green marbles at first.

Total number of marbles in the end
= 1 u + 2 u + 2 u - 14
= 5 u - 14

5 u - 14 = 191
5 u = 191 + 14
5 u = 205

1 u = 205 ÷ 5 = 41

Number of green marbles that Roshel had at first
= 2 u - 14 + 68
= 2 u + 54
= 2 x 41 + 54
= 136

Answer(s): 136