Abi had $500 less than Gabby. Gabby gave
35 of her money to Abi. Abi then gave 25% of her money to Gabby. In the end, Gabby had $236 less than Abi. How much did Abi have at first?
| |
Gabby |
Abi |
| Comparing Gabby and Abi 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 Gabby received another $236 in the end, Gabby and Abi would have the same amount of money.
6 u + 225 = 4 u + 275 + 236
6 u - 4 u = 275 + 236 - 225
2 u = 286
1 u = 286 ÷ 2 = 143
Amount that Abi had at first
= 5 u
= 5 x 143
= $715
Answer(s): $715
