Xuan had the same number of white, pink and purple coins at first. After giving some white and pink coins and 59 purple coins away, Xuan had 236 coins left. There were 2 times as many white coins as pink coins left. The number of purple coins left was 29 fewer than the number of white coins left. How many purple coins did she have at first?
| |
Pink |
White |
Purple |
Total |
| Before |
2 u + 30 |
2 u + 30 |
2 u + 30 |
|
| Change |
- 1 u - 30 |
- 30 |
- 59 |
|
| After |
1 u |
2 u |
2 u - 29 |
236 |
Xuan had the same number of white, pink and purple coins at first.
Total number of coins in the end
= 1 u + 2 u + 2 u - 29
= 5 u - 29
5 u - 29 = 236
5 u = 236 + 29
5 u = 265
1 u = 265 ÷ 5 = 53
Number of purple coins that Xuan had at first
= 2 u - 29 + 59
= 2 u + 30
= 2 x 53 + 30
= 136
Answer(s): 136
