Victoria had 120 more buttons than Winnie. After Victoria gave away
15 of her buttons and Winnie gave away
35 of her buttons, Winnie had 106 less buttons than Victoria. How many buttons did Victoria have in the end?
| |
Victoria |
Winnie |
Comparing Victoria and
Winnie in the end |
120 more |
|
| Before |
5x1 |
+ 120 |
5x1 |
| Change |
- 1x1 |
- 24 |
- 3x1 |
| After |
4x1 |
+ 96 |
2x1 |
Comparing Victoria and
Winnie in the end |
|
106 less |
| |
Victoria |
Winnie |
| Before |
5 u + 120 |
5 u |
| Change |
- 1 u - 24 |
- 3 u |
| After |
4 u + 96 |
2 u |
15 x 120 = 24
120 - 24 = 96
Winnie had 106 less buttons than Victoria in the end. So, if Winnie had another 106 buttons in the end, the number of buttons that Winnie and Victoria each had would be the same.
4 u + 96 = 2 u + 106
4 u - 2 u = 106 - 96
2 u = 10
1 u = 10 ÷ 2 = 5
Number of buttons that Victoria had in the end
= 4 u + 96
= 4 x 5 + 96
= 20 + 96
= 116
Answer(s): 116
