Nicole had 144 more buttons than Shiyun. After Nicole gave away
14 of her buttons and Shiyun gave away
34 of her buttons, Shiyun had 126 less buttons than Nicole. How many buttons did Nicole have at first?
| |
Nicole |
Shiyun |
Comparing Nicole and
Shiyun at first |
144 more |
|
| Before |
4x1 |
+ 144 |
4x1 |
| Change |
- 1x1 |
- 36 |
- 3x1 |
| After |
3x1 |
+ 108 |
1x1 |
Comparing Nicole and
Shiyun in the end |
|
126 less |
| |
Nicole |
Shiyun |
| Before |
4 u + 144 |
4 u |
| Change |
- 1 u - 36 |
- 3 u |
| After |
3 u + 108 |
1 u |
14 x 144 = 36
144 - 36 = 108
Shiyun had 126 less buttons than Nicole in the end. So, if Shiyun had another 126 buttons in the end, the number of buttons that Shiyun and Nicole each had would be the same.
3 u + 108 = 1 u + 126
3 u - 1 u = 126 - 108
2 u = 18
1 u = 18 ÷ 2 = 9
Number of buttons that Nicole had at first
= 4 u + 144
= 4 x 9 + 144
= 36 + 144
= 180
Answer(s): 180
