Hilda had $440 more than Penelope. Hilda gave
35 of her money to Penelope. Penelope then gave 25% of her money to Hilda. In the end, Hilda had $126 less than Penelope. How much did Hilda have at first?
| |
Hilda |
Penelope |
| Comparing Hilda and Penelope at first |
440 more |
|
| Before |
5 u |
+ 440 |
5 u |
|
| Change 1 |
- 3 u |
- 264 |
+ 3 u |
+ 264 |
| After 1 |
2 u |
+ 176 |
8 u |
+ 264 |
| Change 2 |
+ 2 u |
+ 66 |
- 2 u |
- 66 |
| After 2 |
4 u |
+ 242 |
6 u |
+ 198 |
35 x 440= 264
440 - 264 = 176
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 264
=
25100 x 264
= 66
264 - 66 = 198
176 + 66 = 242
If Hilda received another $126 in the end, Hilda and Penelope would have the same amount of money.
6 u + 198 = 4 u + 242 + 126
6 u - 4 u = 242 + 126 - 198
2 u = 170
1 u = 170 ÷ 2 = 85
Amount that Hilda had at first
= 5 u + 440
= 5 x 85 + 440
= 425 + 440
= $865
Answer(s): $865
