Hilda had $340 more than Usha. Hilda gave
35 of her money to Usha. Usha then gave 25% of her money to Hilda. In the end, Hilda had $250 less than Usha. How much did Hilda have at first?
| |
Hilda |
Usha |
| Comparing Hilda and Usha at first |
340 more |
|
| Before |
5 u |
+ 340 |
5 u |
|
| Change 1 |
- 3 u |
- 204 |
+ 3 u |
+ 204 |
| After 1 |
2 u |
+ 136 |
8 u |
+ 204 |
| Change 2 |
+ 2 u |
+ 51 |
- 2 u |
- 51 |
| After 2 |
4 u |
+ 187 |
6 u |
+ 153 |
35 x 340= 204
340 - 204 = 136
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 204
=
25100 x 204
= 51
204 - 51 = 153
136 + 51 = 187
If Hilda received another $250 in the end, Hilda and Usha would have the same amount of money.
6 u + 153 = 4 u + 187 + 250
6 u - 4 u = 187 + 250 - 153
2 u = 284
1 u = 284 ÷ 2 = 142
Amount that Hilda had at first
= 5 u + 340
= 5 x 142 + 340
= 710 + 340
= $1050
Answer(s): $1050
