Eva and Yoko went on a tour together. Eva brought thrice as much money as Yoko. After Eva had spent $510 and Yoko had spent $100, they had an equal amount of money left. How much money did each of them have at first?
- Yoko
- Eva
|
Eva |
Yoko |
Before |
3 u |
1 u |
Change |
- $510 |
- $100 |
After |
3 u - $510 |
1 u - $100 |
(a)
The amounts that Eva and Yoko had in the end are the same.
3 u - 510 = 1 u - 100
3 u - 1 u = 510 - 100
2 u = 410
1 u = 410 ÷ 2 = 205
Amount that Yoko had at first
= 1 u
= $205
(b)
Amount that Eva had at first
= 3 u
= 3 x 205
= $615
Answer(s): (a) $205, (b) $615