Julie had $435 less than Linda. Linda gave
23 of her money to Julie. Julie then gave 20% of her money to Linda. In the end, Julie had $137 more than Linda. How much did Julie have at first?
| |
Linda |
Julie |
| Comparing Linda and Julie at first |
435 more |
|
| Before |
3 u |
+ 435 |
3 u |
|
| Change 1 |
- 2 u |
- 290 |
+ 2 u |
+ 290 |
| After 1 |
1 u |
+ 145 |
5 u |
+ 290 |
| Change 2 |
+ 1 u |
+ 58 |
- 1 u |
- 58 |
| After 2 |
2 u |
+ 203 |
4 u |
+ 232 |
23 x 435= 290
435 - 290 = 145
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 290
=
20100 x 290
= 58
290 - 58 = 232
145 + 58 = 203
If Linda received another $137 in the end, Linda and Julie would have the same amount of money.
4 u + 232 = 2 u + 203 + 137
4 u - 2 u = 203 + 137 - 232
2 u = 108
1 u = 108 ÷ 2 = 54
Amount that Julie had at first
= 3 u
= 3 x 54
= $162
Answer(s): $162
