Rachel had $195 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 $103 more than Rachel. How much did Rachel have at first?
| |
Rachel |
Wendy |
Comparing Rachel
and Wendy at first |
195 more |
|
| Before |
3 u |
+ 195 |
3 u |
|
| Change 1 |
- 2 u |
- 130 |
+ 2 u |
+ 130 |
| After 1 |
1 u |
+ 65 |
5 u |
+ 130 |
| Change 2 |
+ 1 u |
+ 26 |
- 1 u |
- 26 |
| After 2 |
2 u |
+ 91 |
4 u |
+ 104 |
23 x 195= 130
195 - 130 = 65
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 130
=
20100 x 130
= 26
130 - 26 = 104
65 + 26 = 91
If Rachel received another $103 in the end, Rachel and Wendy would have the same amount of money.
4 u + 104 = 2 u + 91 + 103
4 u - 2 u = 91 + 103 - 104
2 u = 90
1 u = 90 ÷ 2 = 45
Amount that Rachel had at first
= 3 u + 195
= 3 x 45 + 195
= 135 + 195
= $330
Answer(s): $330
