Nora had 56 more buttons than Zara. After Nora gave away
14 of her buttons and Zara gave away
25 of her buttons, Zara had 66 less buttons than Nora. How many buttons did Nora have in the end?
| |
Nora |
Zara |
Comparing Nora and
Zara in the end |
56 more |
|
| Before |
4x5 |
+ 56 |
5x4 |
| Change |
- 1x5 |
- 14 |
- 2x4 |
| After |
3x5 |
+ 42 |
3x4 |
Comparing Nora and
Zara in the end |
|
66 less |
| |
Nora |
Zara |
| Before |
20 u + 56 |
20 u |
| Change |
- 5 u - 14 |
- 8 u |
| After |
15 u + 42 |
12 u |
14 x 56 = 14
56 - 14 = 42
Zara had 66 less buttons than Nora in the end. So, if Zara had another 66 buttons in the end, the number of buttons that Zara and Nora each had would be the same.
15 u + 42 = 12 u + 66
15 u - 12 u = 66 - 42
3 u = 24
1 u = 24 ÷ 3 = 8
Number of buttons that Nora had in the end
= 15 u + 42
= 15 x 8 + 42
= 120 + 42
= 162
Answer(s): 162
