Xandra had $300 more than Esther. Xandra gave
23 of her money to Esther. Esther then gave 20% of her money to Xandra. In the end, Xandra had $266 less than Esther. How much did Xandra have at first?
| |
Xandra |
Esther |
| Comparing Xandra and Esther at first |
300 more |
|
| Before |
3 u |
+ 300 |
3 u |
|
| Change 1 |
- 2 u |
- 200 |
+ 2 u |
+ 200 |
| After 1 |
1 u |
+ 100 |
5 u |
+ 200 |
| Change 2 |
+ 1 u |
+ 40 |
- 1 u |
- 40 |
| After 2 |
2 u |
+ 140 |
4 u |
+ 160 |
23 x 300= 200
300 - 200 = 100
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 200
=
20100 x 200
= 40
200 - 40 = 160
100 + 40 = 140
If Xandra received another $266 in the end, Xandra and Esther would have the same amount of money.
4 u + 160 = 2 u + 140 + 266
4 u - 2 u = 140 + 266 - 160
2 u = 246
1 u = 246 ÷ 2 = 123
Amount that Xandra had at first
= 3 u + 300
= 3 x 123 + 300
= 369 + 300
= $669
Answer(s): $669
