Shiyun had 115 more buttons than Victoria. After Shiyun gave away
15 of her buttons and Victoria gave away
35 of her buttons, Victoria had 96 less buttons than Shiyun. How many buttons did Shiyun have in the end?
| |
Shiyun |
Victoria |
Comparing Shiyun and
Victoria in the end |
115 more |
|
| Before |
5x1 |
+ 115 |
5x1 |
| Change |
- 1x1 |
- 23 |
- 3x1 |
| After |
4x1 |
+ 92 |
2x1 |
Comparing Shiyun and
Victoria in the end |
|
96 less |
| |
Shiyun |
Victoria |
| Before |
5 u + 115 |
5 u |
| Change |
- 1 u - 23 |
- 3 u |
| After |
4 u + 92 |
2 u |
15 x 115 = 23
115 - 23 = 92
Victoria had 96 less buttons than Shiyun in the end. So, if Victoria had another 96 buttons in the end, the number of buttons that Victoria and Shiyun each had would be the same.
4 u + 92 = 2 u + 96
4 u - 2 u = 96 - 92
2 u = 4
1 u = 4 ÷ 2 = 2
Number of buttons that Shiyun had in the end
= 4 u + 92
= 4 x 2 + 92
= 8 + 92
= 100
Answer(s): 100
