Eva had $400 less than Lucy. Lucy gave
35 of her money to Eva. Eva then gave 25% of her money to Lucy. In the end, Lucy had $214 less than Eva. How much did Eva have at first?
| |
Lucy |
Eva |
| Comparing Lucy and Eva at first |
400 more |
|
| Before |
5 u |
+ 400 |
5 u |
|
| Change 1 |
- 3 u |
- 240 |
+ 3 u |
+ 240 |
| After 1 |
2 u |
+ 160 |
8 u |
+ 240 |
| Change 2 |
+ 2 u |
+ 60 |
- 2 u |
- 60 |
| After 2 |
4 u |
+ 220 |
6 u |
+ 180 |
35 x 400= 240
400 - 240 = 160
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 240
=
25100 x 240
= 60
240 - 60 = 180
160 + 60 = 220
If Lucy received another $214 in the end, Lucy and Eva would have the same amount of money.
6 u + 180 = 4 u + 220 + 214
6 u - 4 u = 220 + 214 - 180
2 u = 254
1 u = 254 ÷ 2 = 127
Amount that Eva had at first
= 5 u
= 5 x 127
= $635
Answer(s): $635
