Gabby had $340 less than Hilda. Hilda gave
35 of her money to Gabby. Gabby then gave 25% of her money to Hilda. In the end, Gabby had $218 more than Hilda. How much did Gabby have at first?
| |
Hilda |
Gabby |
| Comparing Hilda and Gabby 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 $218 in the end, Hilda and Gabby would have the same amount of money.
6 u + 153 = 4 u + 187 + 218
6 u - 4 u = 187 + 218 - 153
2 u = 252
1 u = 252 ÷ 2 = 126
Amount that Gabby had at first
= 5 u
= 5 x 126
= $630
Answer(s): $630
