Hilda and Gem went on a tour together. Hilda brought thrice as much money as Gem. After Hilda had spent $590 and Gem had spent $150, they had an equal amount of money left. How much money did each of them have at first?
- Gem
- Hilda
|
Hilda |
Gem |
Before |
3 u |
1 u |
Change |
- $590 |
- $150 |
After |
3 u - $590 |
1 u - $150 |
(a)
The amounts that Hilda and Gem had in the end are the same.
3 u - 590 = 1 u - 150
3 u - 1 u = 590 - 150
2 u = 440
1 u = 440 ÷ 2 = 220
Amount that Gem had at first
= 1 u
= $220
(b)
Amount that Hilda had at first
= 3 u
= 3 x 220
= $660
Answer(s): (a) $220, (b) $660