Erika had $420 more than Xandra. Erika gave
23 of her money to Xandra. Xandra then gave 20% of her money to Erika. In the end, Erika had $128 less than Xandra. How much did Erika have at first?
| |
Erika |
Xandra |
| Comparing Erika and Xandra at first |
420 more |
|
| Before |
3 u |
+ 420 |
3 u |
|
| Change 1 |
- 2 u |
- 280 |
+ 2 u |
+ 280 |
| After 1 |
1 u |
+ 140 |
5 u |
+ 280 |
| Change 2 |
+ 1 u |
+ 56 |
- 1 u |
- 56 |
| After 2 |
2 u |
+ 196 |
4 u |
+ 224 |
23 x 420= 280
420 - 280 = 140
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 280
=
20100 x 280
= 56
280 - 56 = 224
140 + 56 = 196
If Erika received another $128 in the end, Erika and Xandra would have the same amount of money.
4 u + 224 = 2 u + 196 + 128
4 u - 2 u = 196 + 128 - 224
2 u = 100
1 u = 100 ÷ 2 = 50
Amount that Erika had at first
= 3 u + 420
= 3 x 50 + 420
= 150 + 420
= $570
Answer(s): $570
