Lucy had the same number of yellow, green and silver buttons at first. After giving some yellow and green buttons and 71 silver buttons away, Lucy had 249 buttons left. There were 5 times as many yellow buttons as green buttons left. The number of silver buttons left was 37 fewer than the number of yellow buttons left. How many silver buttons did she have at first?

	Green	Yellow	Silver	Total
Before	5 u + 34	5 u + 34	5 u + 34
Change	- 4 u - 34	- 34	- 71
After	1 u	5 u	5 u - 37	249

Lucy had the same number of yellow, green and silver buttons at first.

Total number of buttons in the end
= 1 u + 5 u + 5 u - 37
= 11 u - 37

11 u - 37 = 249
11 u = 249 + 37
11 u = 286

1 u = 286 ÷ 11 = 26

Number of silver buttons that Lucy had at first
= 5 u - 37 + 71
= 5 u + 34
= 5 x 26 + 34
= 164

Answer(s): 164