Hilda had $480 less than Olivia. Olivia gave
35 of her money to Hilda. Hilda then gave 25% of her money to Olivia. In the end, Olivia had $292 less than Hilda. How much did Hilda have at first?
| |
Olivia |
Hilda |
| Comparing Olivia and Hilda at first |
480 more |
|
| Before |
5 u |
+ 480 |
5 u |
|
| Change 1 |
- 3 u |
- 288 |
+ 3 u |
+ 288 |
| After 1 |
2 u |
+ 192 |
8 u |
+ 288 |
| Change 2 |
+ 2 u |
+ 72 |
- 2 u |
- 72 |
| After 2 |
4 u |
+ 264 |
6 u |
+ 216 |
35 x 480= 288
480 - 288 = 192
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 288
=
25100 x 288
= 72
288 - 72 = 216
192 + 72 = 264
If Olivia received another $292 in the end, Olivia and Hilda would have the same amount of money.
6 u + 216 = 4 u + 264 + 292
6 u - 4 u = 264 + 292 - 216
2 u = 340
1 u = 340 ÷ 2 = 170
Amount that Hilda had at first
= 5 u
= 5 x 170
= $850
Answer(s): $850
