Dana had the same number of purple, brown and pink stamps at first. After giving some purple and brown stamps and 54 pink stamps away, Dana had 162 stamps left. There were 3 times as many purple stamps as brown stamps left. The number of pink stamps left was 20 fewer than the number of purple stamps left. How many pink stamps did she have at first?
| |
Brown |
Purple |
Pink |
Total |
| Before |
3 u + 34 |
3 u + 34 |
3 u + 34 |
|
| Change |
- 2 u - 34 |
- 34 |
- 54 |
|
| After |
1 u |
3 u |
3 u - 20 |
162 |
Dana had the same number of purple, brown and pink stamps at first.
Total number of stamps in the end
= 1 u + 3 u + 3 u - 20
= 7 u - 20
7 u - 20 = 162
7 u = 162 + 20
7 u = 182
1 u = 182 ÷ 7 = 26
Number of pink stamps that Dana had at first
= 3 u - 20 + 54
= 3 u + 34
= 3 x 26 + 34
= 112
Answer(s): 112
