Nicole had 36 more buttons than Zara. After Nicole gave away
14 of her buttons and Zara gave away
35 of her buttons, Zara had 104 less buttons than Nicole. How many buttons did Nicole have in the end?
| |
Nicole |
Zara |
Comparing Nicole and
Zara in the end |
36 more |
|
| Before |
4x5 |
+ 36 |
5x4 |
| Change |
- 1x5 |
- 9 |
- 3x4 |
| After |
3x5 |
+ 27 |
2x4 |
Comparing Nicole and
Zara in the end |
|
104 less |
| |
Nicole |
Zara |
| Before |
20 u + 36 |
20 u |
| Change |
- 5 u - 9 |
- 12 u |
| After |
15 u + 27 |
8 u |
14 x 36 = 9
36 - 9 = 27
Zara had 104 less buttons than Nicole in the end. So, if Zara had another 104 buttons in the end, the number of buttons that Zara and Nicole each had would be the same.
15 u + 27 = 8 u + 104
15 u - 8 u = 104 - 27
7 u = 77
1 u = 77 ÷ 7 = 11
Number of buttons that Nicole had in the end
= 15 u + 27
= 15 x 11 + 27
= 165 + 27
= 192
Answer(s): 192
