Nicole had 36 more buttons than Rachel. After Nicole gave away
13 of her buttons and Rachel gave away
35 of her buttons, Rachel had 32 less buttons than Nicole. How many buttons did Nicole have in the end?
| |
Nicole |
Rachel |
Comparing Nicole and
Rachel in the end |
36 more |
|
| Before |
3x5 |
+ 36 |
5x3 |
| Change |
- 1x5 |
- 12 |
- 3x3 |
| After |
2x5 |
+ 24 |
2x3 |
Comparing Nicole and
Rachel in the end |
|
32 less |
| |
Nicole |
Rachel |
| Before |
15 u + 36 |
15 u |
| Change |
- 5 u - 12 |
- 9 u |
| After |
10 u + 24 |
6 u |
13 x 36 = 12
36 - 12 = 24
Rachel had 32 less buttons than Nicole in the end. So, if Rachel had another 32 buttons in the end, the number of buttons that Rachel and Nicole each had would be the same.
10 u + 24 = 6 u + 32
10 u - 6 u = 32 - 24
4 u = 8
1 u = 8 ÷ 4 = 2
Number of buttons that Nicole had in the end
= 10 u + 24
= 10 x 2 + 24
= 20 + 24
= 44
Answer(s): 44
