Gillian and Abi went on a tour together. Gillian brought thrice as much money as Abi. After Gillian had spent $460 and Abi had spent $130, they had an equal amount of money left. How much money did each of them have at first?
- Abi
- Gillian
|
Gillian |
Abi |
Before |
3 u |
1 u |
Change |
- $460 |
- $130 |
After |
3 u - $460 |
1 u - $130 |
(a)
The amounts that Gillian and Abi had in the end are the same.
3 u - 460 = 1 u - 130
3 u - 1 u = 460 - 130
2 u = 330
1 u = 330 ÷ 2 = 165
Amount that Abi had at first
= 1 u
= $165
(b)
Amount that Gillian had at first
= 3 u
= 3 x 165
= $495
Answer(s): (a) $165, (b) $495