Xylia had $180 more than Jane. Xylia gave
35 of her money to Jane. Jane then gave 25% of her money to Xylia. In the end, Jane had $266 more than Xylia. How much did Xylia have at first?
| |
Xylia |
Jane |
Comparing Xylia
and Jane at first |
180 more |
|
| Before |
5 u |
+ 180 |
5 u |
|
| Change 1 |
- 3 u |
- 108 |
+ 3 u |
+ 108 |
| After 1 |
2 u |
+ 72 |
8 u |
+ 108 |
| Change 2 |
+ 2 u |
+ 27 |
- 2 u |
- 27 |
| After 2 |
4 u |
+ 99 |
6 u |
+ 81 |
35 x 180= 108
180 - 108 = 72
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 108
=
25100 x 108
= 27
108 - 27 = 81
72 + 27 = 99
If Xylia received another $266 in the end, Xylia and Jane would have the same amount of money.
6 u + 81 = 4 u + 99 + 266
6 u - 4 u = 99 + 266 - 81
2 u = 284
1 u = 284 ÷ 2 = 142
Amount that Xylia had at first
= 5 u + 180
= 5 x 142 + 180
= 710 + 180
= $890
Answer(s): $890
