Anna had $440 more than Victoria. Anna gave
35 of her money to Victoria. Victoria then gave 25% of her money to Anna. In the end, Anna had $128 less than Victoria. How much did Anna have at first?
| |
Anna |
Victoria |
| Comparing Anna and Victoria at first |
440 more |
|
| Before |
5 u |
+ 440 |
5 u |
|
| Change 1 |
- 3 u |
- 264 |
+ 3 u |
+ 264 |
| After 1 |
2 u |
+ 176 |
8 u |
+ 264 |
| Change 2 |
+ 2 u |
+ 66 |
- 2 u |
- 66 |
| After 2 |
4 u |
+ 242 |
6 u |
+ 198 |
35 x 440= 264
440 - 264 = 176
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 264
=
25100 x 264
= 66
264 - 66 = 198
176 + 66 = 242
If Anna received another $128 in the end, Anna and Victoria would have the same amount of money.
6 u + 198 = 4 u + 242 + 128
6 u - 4 u = 242 + 128 - 198
2 u = 172
1 u = 172 ÷ 2 = 86
Amount that Anna had at first
= 5 u + 440
= 5 x 86 + 440
= 430 + 440
= $870
Answer(s): $870
