Anna had 108 more buttons than Zara. After Anna gave away
13 of her buttons and Zara gave away
35 of her buttons, Zara had 88 less buttons than Anna. How many buttons did Anna have at first?
| |
Anna |
Zara |
Comparing Anna and
Zara at first |
108 more |
|
| Before |
3x5 |
+ 108 |
5x3 |
| Change |
- 1x5 |
- 36 |
- 3x3 |
| After |
2x5 |
+ 72 |
2x3 |
Comparing Anna and
Zara in the end |
|
88 less |
| |
Anna |
Zara |
| Before |
15 u + 108 |
15 u |
| Change |
- 5 u - 36 |
- 9 u |
| After |
10 u + 72 |
6 u |
13 x 108 = 36
108 - 36 = 72
Zara had 88 less buttons than Anna in the end. So, if Zara had another 88 buttons in the end, the number of buttons that Zara and Anna each had would be the same.
10 u + 72 = 6 u + 88
10 u - 6 u = 88 - 72
4 u = 16
1 u = 16 ÷ 4 = 4
Number of buttons that Anna had at first
= 15 u + 108
= 15 x 4 + 108
= 60 + 108
= 168
Answer(s): 168
