Yen and Gwen went on a tour together. Yen brought thrice as much money as Gwen. After Yen had spent $470 and Gwen had spent $120, they had an equal amount of money left. How much money did each of them have at first?
- Gwen
- Yen
|
Yen |
Gwen |
Before |
3 u |
1 u |
Change |
- $470 |
- $120 |
After |
3 u - $470 |
1 u - $120 |
(a)
The amounts that Yen and Gwen had in the end are the same.
3 u - 470 = 1 u - 120
3 u - 1 u = 470 - 120
2 u = 350
1 u = 350 ÷ 2 = 175
Amount that Gwen had at first
= 1 u
= $175
(b)
Amount that Yen had at first
= 3 u
= 3 x 175
= $525
Answer(s): (a) $175, (b) $525