Nora had $500 less than Hilda. Hilda gave
35 of her money to Nora. Nora then gave 25% of her money to Hilda. In the end, Hilda had $244 less than Nora. How much did Nora have at first?
|
Hilda |
Nora |
Comparing Hilda and Nora at first |
500 more |
|
Before |
5 u |
+ 500 |
5 u |
|
Change 1 |
- 3 u |
- 300 |
+ 3 u |
+ 300 |
After 1 |
2 u |
+ 200 |
8 u |
+ 300 |
Change 2 |
+ 2 u |
+ 75 |
- 2 u |
- 75 |
After 2 |
4 u |
+ 275 |
6 u |
+ 225 |
35 x 500= 300
500 - 300 = 200
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 300
=
25100 x 300
= 75
300 - 75 = 225
200 + 75 = 275
If Hilda received another $244 in the end, Hilda and Nora would have the same amount of money.
6 u + 225 = 4 u + 275 + 244
6 u - 4 u = 275 + 244 - 225
2 u = 294
1 u = 294 ÷ 2 = 147
Amount that Nora had at first
= 5 u
= 5 x 147
= $735
Answer(s): $735