Elyse had $340 more than Rachel. Elyse gave
35 of her money to Rachel. Rachel then gave 25% of her money to Elyse. In the end, Rachel had $122 more than Elyse. How much did Elyse have at first?
| |
Elyse |
Rachel |
Comparing Elyse
and Rachel at first |
340 more |
|
| Before |
5 u |
+ 340 |
5 u |
|
| Change 1 |
- 3 u |
- 204 |
+ 3 u |
+ 204 |
| After 1 |
2 u |
+ 136 |
8 u |
+ 204 |
| Change 2 |
+ 2 u |
+ 51 |
- 2 u |
- 51 |
| After 2 |
4 u |
+ 187 |
6 u |
+ 153 |
35 x 340= 204
340 - 204 = 136
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 204
=
25100 x 204
= 51
204 - 51 = 153
136 + 51 = 187
If Elyse received another $122 in the end, Elyse and Rachel would have the same amount of money.
6 u + 153 = 4 u + 187 + 122
6 u - 4 u = 187 + 122 - 153
2 u = 156
1 u = 156 ÷ 2 = 78
Amount that Elyse had at first
= 5 u + 340
= 5 x 78 + 340
= 390 + 340
= $730
Answer(s): $730
