Elyse and Gabby went shopping together. Elyse brought thrice as much money as Gabby. After Elyse had spent $790 and Gabby had spent $130, they had an equal amount of money left. How much money did each of them have at first?
- Gabby
- Elyse
|
Elyse |
Gabby |
Before |
3 u |
1 u |
Change |
- $790 |
- $130 |
After |
3 u - $790 |
1 u - $130 |
(a)
The amounts that Elyse and Gabby had in the end are the same.
3 u - 790 = 1 u - 130
3 u - 1 u = 790 - 130
2 u = 660
1 u = 660 ÷ 2 = 330
Amount that Gabby had at first
= 1 u
= $330
(b)
Amount that Elyse had at first
= 3 u
= 3 x 330
= $990
Answer(s): (a) $330, (b) $990