Gillian had $260 more than Tiffany. Gillian gave
35 of her money to Tiffany. Tiffany then gave 25% of her money to Gillian. In the end, Gillian had $178 less than Tiffany. How much did Gillian have at first?
| |
Gillian |
Tiffany |
| Comparing Gillian and Tiffany at first |
260 more |
|
| Before |
5 u |
+ 260 |
5 u |
|
| Change 1 |
- 3 u |
- 156 |
+ 3 u |
+ 156 |
| After 1 |
2 u |
+ 104 |
8 u |
+ 156 |
| Change 2 |
+ 2 u |
+ 39 |
- 2 u |
- 39 |
| After 2 |
4 u |
+ 143 |
6 u |
+ 117 |
35 x 260= 156
260 - 156 = 104
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 156
=
25100 x 156
= 39
156 - 39 = 117
104 + 39 = 143
If Gillian received another $178 in the end, Gillian and Tiffany would have the same amount of money.
6 u + 117 = 4 u + 143 + 178
6 u - 4 u = 143 + 178 - 117
2 u = 204
1 u = 204 ÷ 2 = 102
Amount that Gillian had at first
= 5 u + 260
= 5 x 102 + 260
= 510 + 260
= $770
Answer(s): $770
