Hilda had $460 less than Jen. Jen gave
35 of her money to Hilda. Hilda then gave 25% of her money to Jen. In the end, Hilda had $114 more than Jen. How much did Hilda have at first?
| |
Jen |
Hilda |
| Comparing Jen and Hilda at first |
460 more |
|
| Before |
5 u |
+ 460 |
5 u |
|
| Change 1 |
- 3 u |
- 276 |
+ 3 u |
+ 276 |
| After 1 |
2 u |
+ 184 |
8 u |
+ 276 |
| Change 2 |
+ 2 u |
+ 69 |
- 2 u |
- 69 |
| After 2 |
4 u |
+ 253 |
6 u |
+ 207 |
35 x 460= 276
460 - 276 = 184
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 276
=
25100 x 276
= 69
276 - 69 = 207
184 + 69 = 253
If Jen received another $114 in the end, Jen and Hilda would have the same amount of money.
6 u + 207 = 4 u + 253 + 114
6 u - 4 u = 253 + 114 - 207
2 u = 160
1 u = 160 ÷ 2 = 80
Amount that Hilda had at first
= 5 u
= 5 x 80
= $400
Answer(s): $400
