Rachel had $480 more than Wendy. Rachel gave
23 of her money to Wendy. Wendy then gave 20% of her money to Rachel. In the end, Wendy had $246 more than Rachel. How much did Rachel have at first?
| |
Rachel |
Wendy |
Comparing Rachel
and Wendy at first |
480 more |
|
| Before |
3 u |
+ 480 |
3 u |
|
| Change 1 |
- 2 u |
- 320 |
+ 2 u |
+ 320 |
| After 1 |
1 u |
+ 160 |
5 u |
+ 320 |
| Change 2 |
+ 1 u |
+ 64 |
- 1 u |
- 64 |
| After 2 |
2 u |
+ 224 |
4 u |
+ 256 |
23 x 480= 320
480 - 320 = 160
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 320
=
20100 x 320
= 64
320 - 64 = 256
160 + 64 = 224
If Rachel received another $246 in the end, Rachel and Wendy would have the same amount of money.
4 u + 256 = 2 u + 224 + 246
4 u - 2 u = 224 + 246 - 256
2 u = 214
1 u = 214 ÷ 2 = 107
Amount that Rachel had at first
= 3 u + 480
= 3 x 107 + 480
= 321 + 480
= $801
Answer(s): $801
