Mary and Xandra went on a tour together. Mary brought thrice as much money as Xandra. After Mary had spent $630 and Xandra had spent $120, they had an equal amount of money left. How much money did each of them have at first?
- Xandra
- Mary
|
Mary |
Xandra |
Before |
3 u |
1 u |
Change |
- $630 |
- $120 |
After |
3 u - $630 |
1 u - $120 |
(a)
The amounts that Mary and Xandra had in the end are the same.
3 u - 630 = 1 u - 120
3 u - 1 u = 630 - 120
2 u = 510
1 u = 510 ÷ 2 = 255
Amount that Xandra had at first
= 1 u
= $255
(b)
Amount that Mary had at first
= 3 u
= 3 x 255
= $765
Answer(s): (a) $255, (b) $765