Olivia had $460 less than Natalie. Natalie gave
35 of her money to Olivia. Olivia then gave 25% of her money to Natalie. In the end, Olivia had $134 more than Natalie. How much did Olivia have at first?
| |
Natalie |
Olivia |
| Comparing Natalie and Olivia at first |
460 more |
|
| Before |
5 u |
+ 460 |
5 u |
|
| Change 1 |
- 3 u |
- 276 |
+ 3 u |
+ 276 |
| After 1 |
2 u |
+ 184 |
8 u |
+ 276 |
| Change 2 |
+ 2 u |
+ 69 |
- 2 u |
- 69 |
| After 2 |
4 u |
+ 253 |
6 u |
+ 207 |
35 x 460= 276
460 - 276 = 184
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 276
=
25100 x 276
= 69
276 - 69 = 207
184 + 69 = 253
If Natalie received another $134 in the end, Natalie and Olivia would have the same amount of money.
6 u + 207 = 4 u + 253 + 134
6 u - 4 u = 253 + 134 - 207
2 u = 180
1 u = 180 ÷ 2 = 90
Amount that Olivia had at first
= 5 u
= 5 x 90
= $450
Answer(s): $450
