Mary and Yoko went on a tour together. Mary brought thrice as much money as Yoko. After Mary had spent $870 and Yoko had spent $110, they had an equal amount of money left. How much money did each of them have at first?
- Yoko
- Mary
|
Mary |
Yoko |
Before |
3 u |
1 u |
Change |
- $870 |
- $110 |
After |
3 u - $870 |
1 u - $110 |
(a)
The amounts that Mary and Yoko had in the end are the same.
3 u - 870 = 1 u - 110
3 u - 1 u = 870 - 110
2 u = 760
1 u = 760 ÷ 2 = 380
Amount that Yoko had at first
= 1 u
= $380
(b)
Amount that Mary had at first
= 3 u
= 3 x 380
= $1140
Answer(s): (a) $380, (b) $1140