Olivia had 52 more buttons than Roshel. After Olivia gave away
14 of her buttons and Roshel gave away
34 of her buttons, Roshel had 57 less buttons than Olivia. How many buttons did Olivia have in the end?
| |
Olivia |
Roshel |
Comparing Olivia and
Roshel in the end |
52 more |
|
| Before |
4x1 |
+ 52 |
4x1 |
| Change |
- 1x1 |
- 13 |
- 3x1 |
| After |
3x1 |
+ 39 |
1x1 |
Comparing Olivia and
Roshel in the end |
|
57 less |
| |
Olivia |
Roshel |
| Before |
4 u + 52 |
4 u |
| Change |
- 1 u - 13 |
- 3 u |
| After |
3 u + 39 |
1 u |
14 x 52 = 13
52 - 13 = 39
Roshel had 57 less buttons than Olivia in the end. So, if Roshel had another 57 buttons in the end, the number of buttons that Roshel and Olivia each had would be the same.
3 u + 39 = 1 u + 57
3 u - 1 u = 57 - 39
2 u = 18
1 u = 18 ÷ 2 = 9
Number of buttons that Olivia had in the end
= 3 u + 39
= 3 x 9 + 39
= 27 + 39
= 66
Answer(s): 66
