Rachel had $240 more than Mary. Rachel gave
35 of her money to Mary. Mary then gave 25% of her money to Rachel. In the end, Mary had $104 more than Rachel. How much did Rachel have at first?
| |
Rachel |
Mary |
Comparing Rachel
and Mary 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 Rachel received another $104 in the end, Rachel and Mary would have the same amount of money.
6 u + 108 = 4 u + 132 + 104
6 u - 4 u = 132 + 104 - 108
2 u = 128
1 u = 128 ÷ 2 = 64
Amount that Rachel had at first
= 5 u + 240
= 5 x 64 + 240
= 320 + 240
= $560
Answer(s): $560
