Victoria had the same number of purple, black and gold erasers at first. After giving some purple and black erasers and 70 gold erasers away, Victoria had 220 erasers left. There were 2 times as many purple erasers as black erasers left. The number of gold erasers left was 15 fewer than the number of purple erasers left. How many gold erasers did she have at first?

	Black	Purple	Gold	Total
Before	2 u + 55	2 u + 55	2 u + 55
Change	- 1 u - 55	- 55	- 70
After	1 u	2 u	2 u - 15	220

Victoria had the same number of purple, black and gold erasers at first.

Total number of erasers in the end
= 1 u + 2 u + 2 u - 15
= 5 u - 15

5 u - 15 = 220
5 u = 220 + 15
5 u = 235

1 u = 235 ÷ 5 = 47

Number of gold erasers that Victoria had at first
= 2 u - 15 + 70
= 2 u + 55
= 2 x 47 + 55
= 149

Answer(s): 149