Lynn had $180 less than Shannon. Shannon gave
23 of her money to Lynn. Lynn then gave 20% of her money to Shannon. In the end, Shannon had $160 less than Lynn. How much did Lynn have at first?
| |
Shannon |
Lynn |
| Comparing Shannon and Lynn at first |
180 more |
|
| Before |
3 u |
+ 180 |
3 u |
|
| Change 1 |
- 2 u |
- 120 |
+ 2 u |
+ 120 |
| After 1 |
1 u |
+ 60 |
5 u |
+ 120 |
| Change 2 |
+ 1 u |
+ 24 |
- 1 u |
- 24 |
| After 2 |
2 u |
+ 84 |
4 u |
+ 96 |
23 x 180= 120
180 - 120 = 60
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 120
=
20100 x 120
= 24
120 - 24 = 96
60 + 24 = 84
If Shannon received another $160 in the end, Shannon and Lynn would have the same amount of money.
4 u + 96 = 2 u + 84 + 160
4 u - 2 u = 84 + 160 - 96
2 u = 148
1 u = 148 ÷ 2 = 74
Amount that Lynn had at first
= 3 u
= 3 x 74
= $222
Answer(s): $222
