Olivia had $340 less than Raeann. Raeann gave
35 of her money to Olivia. Olivia then gave 25% of her money to Raeann. In the end, Raeann had $122 less than Olivia. How much did Olivia have at first?
| |
Raeann |
Olivia |
| Comparing Raeann and Olivia 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 Raeann received another $122 in the end, Raeann and Olivia would have the same amount of money.
6 u + 153 = 4 u + 187 + 122
6 u - 4 u = 187 + 122 - 153
2 u = 156
1 u = 156 ÷ 2 = 78
Amount that Olivia had at first
= 5 u
= 5 x 78
= $390
Answer(s): $390
