Roshel had 39 more buttons than Mary. After Roshel gave away
13 of her buttons and Mary gave away
34 of her buttons, Mary had 51 less buttons than Roshel. How many buttons did Roshel have in the end?
| |
Roshel |
Mary |
Comparing Roshel and
Mary in the end |
39 more |
|
| Before |
3x4 |
+ 39 |
4x3 |
| Change |
- 1x4 |
- 13 |
- 3x3 |
| After |
2x4 |
+ 26 |
1x3 |
Comparing Roshel and
Mary in the end |
|
51 less |
| |
Roshel |
Mary |
| Before |
12 u + 39 |
12 u |
| Change |
- 4 u - 13 |
- 9 u |
| After |
8 u + 26 |
3 u |
13 x 39 = 13
39 - 13 = 26
Mary had 51 less buttons than Roshel in the end. So, if Mary had another 51 buttons in the end, the number of buttons that Mary and Roshel each had would be the same.
8 u + 26 = 3 u + 51
8 u - 3 u = 51 - 26
5 u = 25
1 u = 25 ÷ 5 = 5
Number of buttons that Roshel had in the end
= 8 u + 26
= 8 x 5 + 26
= 40 + 26
= 66
Answer(s): 66
