Dana had the same number of purple, red and gold stickers at first. After giving some purple and red stickers and 73 gold stickers away, Dana had 238 stickers left. There were 3 times as many purple stickers as red stickers left. The number of gold stickers left was 35 fewer than the number of purple stickers left. How many gold stickers did she have at first?
| |
Red |
Purple |
Gold |
Total |
| Before |
3 u + 38 |
3 u + 38 |
3 u + 38 |
|
| Change |
- 2 u - 38 |
- 38 |
- 73 |
|
| After |
1 u |
3 u |
3 u - 35 |
238 |
Dana had the same number of purple, red and gold stickers at first.
Total number of stickers in the end
= 1 u + 3 u + 3 u - 35
= 7 u - 35
7 u - 35 = 238
7 u = 238 + 35
7 u = 273
1 u = 273 ÷ 7 = 39
Number of gold stickers that Dana had at first
= 3 u - 35 + 73
= 3 u + 38
= 3 x 39 + 38
= 155
Answer(s): 155
