Xuan had $100 more than Emily. Xuan gave
35 of her money to Emily. Emily then gave 25% of her money to Xuan. In the end, Xuan had $232 less than Emily. How much did Xuan have at first?
| |
Xuan |
Emily |
| Comparing Xuan and Emily at first |
100 more |
|
| Before |
5 u |
+ 100 |
5 u |
|
| Change 1 |
- 3 u |
- 60 |
+ 3 u |
+ 60 |
| After 1 |
2 u |
+ 40 |
8 u |
+ 60 |
| Change 2 |
+ 2 u |
+ 15 |
- 2 u |
- 15 |
| After 2 |
4 u |
+ 55 |
6 u |
+ 45 |
35 x 100= 60
100 - 60 = 40
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 60
=
25100 x 60
= 15
60 - 15 = 45
40 + 15 = 55
If Xuan received another $232 in the end, Xuan and Emily would have the same amount of money.
6 u + 45 = 4 u + 55 + 232
6 u - 4 u = 55 + 232 - 45
2 u = 242
1 u = 242 ÷ 2 = 121
Amount that Xuan had at first
= 5 u + 100
= 5 x 121 + 100
= 605 + 100
= $705
Answer(s): $705
