Winnie had 39 more buttons than Vanessa. After Winnie gave away
13 of her buttons and Vanessa gave away
35 of her buttons, Vanessa had 46 less buttons than Winnie. How many buttons did Winnie have in the end?
| |
Winnie |
Vanessa |
Comparing Winnie and
Vanessa in the end |
39 more |
|
| Before |
3x5 |
+ 39 |
5x3 |
| Change |
- 1x5 |
- 13 |
- 3x3 |
| After |
2x5 |
+ 26 |
2x3 |
Comparing Winnie and
Vanessa in the end |
|
46 less |
| |
Winnie |
Vanessa |
| Before |
15 u + 39 |
15 u |
| Change |
- 5 u - 13 |
- 9 u |
| After |
10 u + 26 |
6 u |
13 x 39 = 13
39 - 13 = 26
Vanessa had 46 less buttons than Winnie in the end. So, if Vanessa had another 46 buttons in the end, the number of buttons that Vanessa and Winnie each had would be the same.
10 u + 26 = 6 u + 46
10 u - 6 u = 46 - 26
4 u = 20
1 u = 20 ÷ 4 = 5
Number of buttons that Winnie had in the end
= 10 u + 26
= 10 x 5 + 26
= 50 + 26
= 76
Answer(s): 76
