Tammy and Xylia went shopping together. Tammy brought thrice as much money as Xylia. After Tammy had spent $830 and Xylia had spent $110, they had an equal amount of money left. How much money did each of them have at first?
- Xylia
- Tammy
|
Tammy |
Xylia |
Before |
3 u |
1 u |
Change |
- $830 |
- $110 |
After |
3 u - $830 |
1 u - $110 |
(a)
The amounts that Tammy and Xylia had in the end are the same.
3 u - 830 = 1 u - 110
3 u - 1 u = 830 - 110
2 u = 720
1 u = 720 ÷ 2 = 360
Amount that Xylia had at first
= 1 u
= $360
(b)
Amount that Tammy had at first
= 3 u
= 3 x 360
= $1080
Answer(s): (a) $360, (b) $1080