Olivia had $200 less than Xylia. Xylia gave
35 of her money to Olivia. Olivia then gave 25% of her money to Xylia. In the end, Olivia had $120 more than Xylia. How much did Olivia have at first?
| |
Xylia |
Olivia |
| Comparing Xylia and Olivia at first |
200 more |
|
| Before |
5 u |
+ 200 |
5 u |
|
| Change 1 |
- 3 u |
- 120 |
+ 3 u |
+ 120 |
| After 1 |
2 u |
+ 80 |
8 u |
+ 120 |
| Change 2 |
+ 2 u |
+ 30 |
- 2 u |
- 30 |
| After 2 |
4 u |
+ 110 |
6 u |
+ 90 |
35 x 200= 120
200 - 120 = 80
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 120
=
25100 x 120
= 30
120 - 30 = 90
80 + 30 = 110
If Xylia received another $120 in the end, Xylia and Olivia would have the same amount of money.
6 u + 90 = 4 u + 110 + 120
6 u - 4 u = 110 + 120 - 90
2 u = 140
1 u = 140 ÷ 2 = 70
Amount that Olivia had at first
= 5 u
= 5 x 70
= $350
Answer(s): $350
