Rachel had $240 less than Sarah. Sarah gave
35 of her money to Rachel. Rachel then gave 25% of her money to Sarah. In the end, Rachel had $192 more than Sarah. How much did Rachel have at first?
| |
Sarah |
Rachel |
| Comparing Sarah and Rachel at first |
240 more |
|
| Before |
5 u |
+ 240 |
5 u |
|
| Change 1 |
- 3 u |
- 144 |
+ 3 u |
+ 144 |
| After 1 |
2 u |
+ 96 |
8 u |
+ 144 |
| Change 2 |
+ 2 u |
+ 36 |
- 2 u |
- 36 |
| After 2 |
4 u |
+ 132 |
6 u |
+ 108 |
35 x 240= 144
240 - 144 = 96
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 144
=
25100 x 144
= 36
144 - 36 = 108
96 + 36 = 132
If Sarah received another $192 in the end, Sarah and Rachel would have the same amount of money.
6 u + 108 = 4 u + 132 + 192
6 u - 4 u = 132 + 192 - 108
2 u = 216
1 u = 216 ÷ 2 = 108
Amount that Rachel had at first
= 5 u
= 5 x 108
= $540
Answer(s): $540
