Lucy and Rachel went on a tour together. Lucy brought thrice as much money as Rachel. After Lucy had spent $900 and Rachel had spent $280, they had an equal amount of money left. How much money did each of them have at first?
- Rachel
- Lucy
|
Lucy |
Rachel |
Before |
3 u |
1 u |
Change |
- $900 |
- $280 |
After |
3 u - $900 |
1 u - $280 |
(a)
The amounts that Lucy and Rachel had in the end are the same.
3 u - 900 = 1 u - 280
3 u - 1 u = 900 - 280
2 u = 620
1 u = 620 ÷ 2 = 310
Amount that Rachel had at first
= 1 u
= $310
(b)
Amount that Lucy had at first
= 3 u
= 3 x 310
= $930
Answer(s): (a) $310, (b) $930