Hazel had $330 more than Xylia. Hazel gave
23 of her money to Xylia. Xylia then gave 20% of her money to Hazel. In the end, Hazel had $130 less than Xylia. How much did Hazel have at first?
| |
Hazel |
Xylia |
| Comparing Hazel and Xylia at first |
330 more |
|
| Before |
3 u |
+ 330 |
3 u |
|
| Change 1 |
- 2 u |
- 220 |
+ 2 u |
+ 220 |
| After 1 |
1 u |
+ 110 |
5 u |
+ 220 |
| Change 2 |
+ 1 u |
+ 44 |
- 1 u |
- 44 |
| After 2 |
2 u |
+ 154 |
4 u |
+ 176 |
23 x 330= 220
330 - 220 = 110
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 220
=
20100 x 220
= 44
220 - 44 = 176
110 + 44 = 154
If Hazel received another $130 in the end, Hazel and Xylia would have the same amount of money.
4 u + 176 = 2 u + 154 + 130
4 u - 2 u = 154 + 130 - 176
2 u = 108
1 u = 108 ÷ 2 = 54
Amount that Hazel had at first
= 3 u + 330
= 3 x 54 + 330
= 162 + 330
= $492
Answer(s): $492
