Penelope had the same number of blue, white and silver marbles at first. After giving some blue and white marbles and 65 silver marbles away, Penelope had 234 marbles left. There were 5 times as many blue marbles as white marbles left. The number of silver marbles left was 30 fewer than the number of blue marbles left. How many silver marbles did she have at first?

	White	Blue	Silver	Total
Before	5 u + 35	5 u + 35	5 u + 35
Change	- 4 u - 35	- 35	- 65
After	1 u	5 u	5 u - 30	234

Penelope had the same number of blue, white and silver marbles at first.

Total number of marbles in the end
= 1 u + 5 u + 5 u - 30
= 11 u - 30

11 u - 30 = 234
11 u = 234 + 30
11 u = 264

1 u = 264 ÷ 11 = 24

Number of silver marbles that Penelope had at first
= 5 u - 30 + 65
= 5 u + 35
= 5 x 24 + 35
= 155

Answer(s): 155