Hilda and Marion went on a tour together. Hilda brought thrice as much money as Marion. After Hilda had spent $870 and Marion had spent $140, they had an equal amount of money left. How much money did each of them have at first?
- Marion
- Hilda
|
Hilda |
Marion |
Before |
3 u |
1 u |
Change |
- $870 |
- $140 |
After |
3 u - $870 |
1 u - $140 |
(a)
The amounts that Hilda and Marion had in the end are the same.
3 u - 870 = 1 u - 140
3 u - 1 u = 870 - 140
2 u = 730
1 u = 730 ÷ 2 = 365
Amount that Marion had at first
= 1 u
= $365
(b)
Amount that Hilda had at first
= 3 u
= 3 x 365
= $1095
Answer(s): (a) $365, (b) $1095