Eva had $340 less than Olivia. Olivia gave
35 of her money to Eva. Eva then gave 25% of her money to Olivia. In the end, Eva had $278 more than Olivia. How much did Eva have at first?
| |
Olivia |
Eva |
| Comparing Olivia and Eva at first |
340 more |
|
| Before |
5 u |
+ 340 |
5 u |
|
| Change 1 |
- 3 u |
- 204 |
+ 3 u |
+ 204 |
| After 1 |
2 u |
+ 136 |
8 u |
+ 204 |
| Change 2 |
+ 2 u |
+ 51 |
- 2 u |
- 51 |
| After 2 |
4 u |
+ 187 |
6 u |
+ 153 |
35 x 340= 204
340 - 204 = 136
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 204
=
25100 x 204
= 51
204 - 51 = 153
136 + 51 = 187
If Olivia received another $278 in the end, Olivia and Eva would have the same amount of money.
6 u + 153 = 4 u + 187 + 278
6 u - 4 u = 187 + 278 - 153
2 u = 312
1 u = 312 ÷ 2 = 156
Amount that Eva had at first
= 5 u
= 5 x 156
= $780
Answer(s): $780
