Shiyun had 95 more buttons than Olivia. After Shiyun gave away
35 of her buttons and Olivia gave away
34 of her buttons, Olivia had 74 less buttons than Shiyun. How many buttons did Shiyun have in the end?
| |
Shiyun |
Olivia |
Comparing Shiyun and
Olivia in the end |
95 more |
|
| Before |
5x4 |
+ 95 |
4x5 |
| Change |
- 3x4 |
- 57 |
- 3x5 |
| After |
2x4 |
+ 38 |
1x5 |
Comparing Shiyun and
Olivia in the end |
|
74 less |
| |
Shiyun |
Olivia |
| Before |
20 u + 95 |
20 u |
| Change |
- 12 u - 57 |
- 15 u |
| After |
8 u + 38 |
5 u |
35 x 95 = 57
95 - 57 = 38
Olivia had 74 less buttons than Shiyun in the end. So, if Olivia had another 74 buttons in the end, the number of buttons that Olivia and Shiyun each had would be the same.
8 u + 38 = 5 u + 74
8 u - 5 u = 74 - 38
3 u = 36
1 u = 36 ÷ 3 = 12
Number of buttons that Shiyun had in the end
= 8 u + 38
= 8 x 12 + 38
= 96 + 38
= 134
Answer(s): 134
