Lucy had $495 more than Emily. Lucy gave
23 of her money to Emily. Emily then gave 20% of her money to Lucy. In the end, Lucy had $211 less than Emily. How much did Lucy have at first?
| |
Lucy |
Emily |
| Comparing Lucy and Emily at first |
495 more |
|
| Before |
3 u |
+ 495 |
3 u |
|
| Change 1 |
- 2 u |
- 330 |
+ 2 u |
+ 330 |
| After 1 |
1 u |
+ 165 |
5 u |
+ 330 |
| Change 2 |
+ 1 u |
+ 66 |
- 1 u |
- 66 |
| After 2 |
2 u |
+ 231 |
4 u |
+ 264 |
23 x 495= 330
495 - 330 = 165
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 330
=
20100 x 330
= 66
330 - 66 = 264
165 + 66 = 231
If Lucy received another $211 in the end, Lucy and Emily would have the same amount of money.
4 u + 264 = 2 u + 231 + 211
4 u - 2 u = 231 + 211 - 264
2 u = 178
1 u = 178 ÷ 2 = 89
Amount that Lucy had at first
= 3 u + 495
= 3 x 89 + 495
= 267 + 495
= $762
Answer(s): $762
