Julie had the same number of brown, gold and grey stamps at first. After giving some brown and gold stamps and 47 grey stamps away, Julie had 216 stamps left. There were 2 times as many brown stamps as gold stamps left. The number of grey stamps left was 29 fewer than the number of brown stamps left. How many grey stamps did she have at first?
| |
Gold |
Brown |
Grey |
Total |
| Before |
2 u + 18 |
2 u + 18 |
2 u + 18 |
|
| Change |
- 1 u - 18 |
- 18 |
- 47 |
|
| After |
1 u |
2 u |
2 u - 29 |
216 |
Julie had the same number of brown, gold and grey stamps at first.
Total number of stamps in the end
= 1 u + 2 u + 2 u - 29
= 5 u - 29
5 u - 29 = 216
5 u = 216 + 29
5 u = 245
1 u = 245 ÷ 5 = 49
Number of grey stamps that Julie had at first
= 2 u - 29 + 47
= 2 u + 18
= 2 x 49 + 18
= 116
Answer(s): 116
