Rachel and Julie went on a tour together. Rachel brought thrice as much money as Julie. After Rachel had spent $880 and Julie had spent $290, they had an equal amount of money left. How much money did each of them have at first?
- Julie
- Rachel
|
Rachel |
Julie |
Before |
3 u |
1 u |
Change |
- $880 |
- $290 |
After |
3 u - $880 |
1 u - $290 |
(a)
The amounts that Rachel and Julie had in the end are the same.
3 u - 880 = 1 u - 290
3 u - 1 u = 880 - 290
2 u = 590
1 u = 590 ÷ 2 = 295
Amount that Julie had at first
= 1 u
= $295
(b)
Amount that Rachel had at first
= 3 u
= 3 x 295
= $885
Answer(s): (a) $295, (b) $885