Shannon had 36 more buttons than Nora. After Shannon gave away
14 of her buttons and Nora gave away
25 of her buttons, Nora had 54 less buttons than Shannon. How many buttons did Shannon have in the end?
| |
Shannon |
Nora |
Comparing Shannon and
Nora in the end |
36 more |
|
| Before |
4x5 |
+ 36 |
5x4 |
| Change |
- 1x5 |
- 9 |
- 2x4 |
| After |
3x5 |
+ 27 |
3x4 |
Comparing Shannon and
Nora in the end |
|
54 less |
| |
Shannon |
Nora |
| Before |
20 u + 36 |
20 u |
| Change |
- 5 u - 9 |
- 8 u |
| After |
15 u + 27 |
12 u |
14 x 36 = 9
36 - 9 = 27
Nora had 54 less buttons than Shannon in the end. So, if Nora had another 54 buttons in the end, the number of buttons that Nora and Shannon each had would be the same.
15 u + 27 = 12 u + 54
15 u - 12 u = 54 - 27
3 u = 27
1 u = 27 ÷ 3 = 9
Number of buttons that Shannon had in the end
= 15 u + 27
= 15 x 9 + 27
= 135 + 27
= 162
Answer(s): 162
