Olivia had $400 more than Lynn. Olivia gave
35 of her money to Lynn. Lynn then gave 25% of her money to Olivia. In the end, Lynn had $122 more than Olivia. How much did Olivia have at first?
| |
Olivia |
Lynn |
Comparing Olivia
and Lynn 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 Olivia received another $122 in the end, Olivia and Lynn would have the same amount of money.
6 u + 180 = 4 u + 220 + 122
6 u - 4 u = 220 + 122 - 180
2 u = 162
1 u = 162 ÷ 2 = 81
Amount that Olivia had at first
= 5 u + 400
= 5 x 81 + 400
= 405 + 400
= $805
Answer(s): $805
