Anna had 125 more buttons than Nicole. After Anna gave away
15 of her buttons and Nicole gave away
23 of her buttons, Nicole had 135 less buttons than Anna. How many buttons did Anna have in the end?
| |
Anna |
Nicole |
Comparing Anna and
Nicole in the end |
125 more |
|
| Before |
5x3 |
+ 125 |
3x5 |
| Change |
- 1x3 |
- 25 |
- 2x5 |
| After |
4x3 |
+ 100 |
1x5 |
Comparing Anna and
Nicole in the end |
|
135 less |
| |
Anna |
Nicole |
| Before |
15 u + 125 |
15 u |
| Change |
- 3 u - 25 |
- 10 u |
| After |
12 u + 100 |
5 u |
15 x 125 = 25
125 - 25 = 100
Nicole had 135 less buttons than Anna in the end. So, if Nicole had another 135 buttons in the end, the number of buttons that Nicole and Anna each had would be the same.
12 u + 100 = 5 u + 135
12 u - 5 u = 135 - 100
7 u = 35
1 u = 35 ÷ 7 = 5
Number of buttons that Anna had in the end
= 12 u + 100
= 12 x 5 + 100
= 60 + 100
= 160
Answer(s): 160
