Raeann and Olivia went shopping together. Raeann brought thrice as much money as Olivia. After Raeann had spent $800 and Olivia had spent $220, they had an equal amount of money left. How much money did each of them have at first?
- Olivia
- Raeann
|
Raeann |
Olivia |
Before |
3 u |
1 u |
Change |
- $800 |
- $220 |
After |
3 u - $800 |
1 u - $220 |
(a)
The amounts that Raeann and Olivia had in the end are the same.
3 u - 800 = 1 u - 220
3 u - 1 u = 800 - 220
2 u = 580
1 u = 580 ÷ 2 = 290
Amount that Olivia had at first
= 1 u
= $290
(b)
Amount that Raeann had at first
= 3 u
= 3 x 290
= $870
Answer(s): (a) $290, (b) $870