Roshel had the same number of purple, white and brown stamps at first. After giving some purple and white stamps and 78 brown stamps away, Roshel had 175 stamps left. There were 4 times as many purple stamps as white stamps left. The number of brown stamps left was 14 fewer than the number of purple stamps left. How many brown stamps did she have at first?
| |
White |
Purple |
Brown |
Total |
| Before |
4 u + 64 |
4 u + 64 |
4 u + 64 |
|
| Change |
- 3 u - 64 |
- 64 |
- 78 |
|
| After |
1 u |
4 u |
4 u - 14 |
175 |
Roshel had the same number of purple, white and brown stamps at first.
Total number of stamps in the end
= 1 u + 4 u + 4 u - 14
= 9 u - 14
9 u - 14 = 175
9 u = 175 + 14
9 u = 189
1 u = 189 ÷ 9 = 21
Number of brown stamps that Roshel had at first
= 4 u - 14 + 78
= 4 u + 64
= 4 x 21 + 64
= 148
Answer(s): 148
