Roshel had 85 more buttons than Winnie. After Roshel gave away
15 of her buttons and Winnie gave away
23 of her buttons, Winnie had 145 less buttons than Roshel. How many buttons did Roshel have at first?
| |
Roshel |
Winnie |
Comparing Roshel and
Winnie at first |
85 more |
|
| Before |
5x3 |
+ 85 |
3x5 |
| Change |
- 1x3 |
- 17 |
- 2x5 |
| After |
4x3 |
+ 68 |
1x5 |
Comparing Roshel and
Winnie in the end |
|
145 less |
| |
Roshel |
Winnie |
| Before |
15 u + 85 |
15 u |
| Change |
- 3 u - 17 |
- 10 u |
| After |
12 u + 68 |
5 u |
15 x 85 = 17
85 - 17 = 68
Winnie had 145 less buttons than Roshel in the end. So, if Winnie had another 145 buttons in the end, the number of buttons that Winnie and Roshel each had would be the same.
12 u + 68 = 5 u + 145
12 u - 5 u = 145 - 68
7 u = 77
1 u = 77 ÷ 7 = 11
Number of buttons that Roshel had at first
= 15 u + 85
= 15 x 11 + 85
= 165 + 85
= 250
Answer(s): 250
