Anna had $220 more than Dana. Anna gave
35 of her money to Dana. Dana then gave 25% of her money to Anna. In the end, Dana had $162 more than Anna. How much did Anna have at first?
| |
Anna |
Dana |
Comparing Anna
and Dana at first |
220 more |
|
| Before |
5 u |
+ 220 |
5 u |
|
| Change 1 |
- 3 u |
- 132 |
+ 3 u |
+ 132 |
| After 1 |
2 u |
+ 88 |
8 u |
+ 132 |
| Change 2 |
+ 2 u |
+ 33 |
- 2 u |
- 33 |
| After 2 |
4 u |
+ 121 |
6 u |
+ 99 |
35 x 220= 132
220 - 132 = 88
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 132
=
25100 x 132
= 33
132 - 33 = 99
88 + 33 = 121
If Anna received another $162 in the end, Anna and Dana would have the same amount of money.
6 u + 99 = 4 u + 121 + 162
6 u - 4 u = 121 + 162 - 99
2 u = 184
1 u = 184 ÷ 2 = 92
Amount that Anna had at first
= 5 u + 220
= 5 x 92 + 220
= 460 + 220
= $680
Answer(s): $680
