Marion and Sarah went on a tour together. Marion brought thrice as much money as Sarah. After Marion had spent $740 and Sarah had spent $130, they had an equal amount of money left. How much money did each of them have at first?
- Sarah
- Marion
|
Marion |
Sarah |
Before |
3 u |
1 u |
Change |
- $740 |
- $130 |
After |
3 u - $740 |
1 u - $130 |
(a)
The amounts that Marion and Sarah had in the end are the same.
3 u - 740 = 1 u - 130
3 u - 1 u = 740 - 130
2 u = 610
1 u = 610 ÷ 2 = 305
Amount that Sarah had at first
= 1 u
= $305
(b)
Amount that Marion had at first
= 3 u
= 3 x 305
= $915
Answer(s): (a) $305, (b) $915