Rachel had $260 more than Pamela. Rachel gave
35 of her money to Pamela. Pamela then gave 25% of her money to Rachel. In the end, Pamela had $274 more than Rachel. How much did Rachel have at first?
| |
Rachel |
Pamela |
Comparing Rachel
and Pamela at first |
260 more |
|
| Before |
5 u |
+ 260 |
5 u |
|
| Change 1 |
- 3 u |
- 156 |
+ 3 u |
+ 156 |
| After 1 |
2 u |
+ 104 |
8 u |
+ 156 |
| Change 2 |
+ 2 u |
+ 39 |
- 2 u |
- 39 |
| After 2 |
4 u |
+ 143 |
6 u |
+ 117 |
35 x 260= 156
260 - 156 = 104
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 156
=
25100 x 156
= 39
156 - 39 = 117
104 + 39 = 143
If Rachel received another $274 in the end, Rachel and Pamela would have the same amount of money.
6 u + 117 = 4 u + 143 + 274
6 u - 4 u = 143 + 274 - 117
2 u = 300
1 u = 300 ÷ 2 = 150
Amount that Rachel had at first
= 5 u + 260
= 5 x 150 + 260
= 750 + 260
= $1010
Answer(s): $1010
