Anna had $180 less than Victoria. Victoria gave
35 of her money to Anna. Anna then gave 25% of her money to Victoria. In the end, Anna had $282 more than Victoria. How much did Anna have at first?
|
Victoria |
Anna |
Comparing Victoria and Anna at first |
180 more |
|
Before |
5 u |
+ 180 |
5 u |
|
Change 1 |
- 3 u |
- 108 |
+ 3 u |
+ 108 |
After 1 |
2 u |
+ 72 |
8 u |
+ 108 |
Change 2 |
+ 2 u |
+ 27 |
- 2 u |
- 27 |
After 2 |
4 u |
+ 99 |
6 u |
+ 81 |
35 x 180= 108
180 - 108 = 72
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 108
=
25100 x 108
= 27
108 - 27 = 81
72 + 27 = 99
If Victoria received another $282 in the end, Victoria and Anna would have the same amount of money.
6 u + 81 = 4 u + 99 + 282
6 u - 4 u = 99 + 282 - 81
2 u = 300
1 u = 300 ÷ 2 = 150
Amount that Anna had at first
= 5 u
= 5 x 150
= $750
Answer(s): $750