Rachel had $465 less than Hilda. Hilda gave
23 of her money to Rachel. Rachel then gave 20% of her money to Hilda. In the end, Rachel had $101 more than Hilda. How much did Rachel have at first?
| |
Hilda |
Rachel |
| Comparing Hilda and Rachel at first |
465 more |
|
| Before |
3 u |
+ 465 |
3 u |
|
| Change 1 |
- 2 u |
- 310 |
+ 2 u |
+ 310 |
| After 1 |
1 u |
+ 155 |
5 u |
+ 310 |
| Change 2 |
+ 1 u |
+ 62 |
- 1 u |
- 62 |
| After 2 |
2 u |
+ 217 |
4 u |
+ 248 |
23 x 465= 310
465 - 310 = 155
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 310
=
20100 x 310
= 62
310 - 62 = 248
155 + 62 = 217
If Hilda received another $101 in the end, Hilda and Rachel would have the same amount of money.
4 u + 248 = 2 u + 217 + 101
4 u - 2 u = 217 + 101 - 248
2 u = 70
1 u = 70 ÷ 2 = 35
Amount that Rachel had at first
= 3 u
= 3 x 35
= $105
Answer(s): $105
