Marion had the same number of purple, pink and brown stamps at first. After giving some purple and pink stamps and 69 brown stamps away, Marion had 213 stamps left. There were 5 times as many purple stamps as pink stamps left. The number of brown stamps left was 40 fewer than the number of purple stamps left. How many brown stamps did she have at first?
| |
Pink |
Purple |
Brown |
Total |
| Before |
5 u + 29 |
5 u + 29 |
5 u + 29 |
|
| Change |
- 4 u - 29 |
- 29 |
- 69 |
|
| After |
1 u |
5 u |
5 u - 40 |
213 |
Marion had the same number of purple, pink and brown stamps at first.
Total number of stamps in the end
= 1 u + 5 u + 5 u - 40
= 11 u - 40
11 u - 40 = 213
11 u = 213 + 40
11 u = 253
1 u = 253 ÷ 11 = 23
Number of brown stamps that Marion had at first
= 5 u - 40 + 69
= 5 u + 29
= 5 x 23 + 29
= 144
Answer(s): 144
