Anna and Irene went on a tour together. Anna brought five times as much money as Irene. After Anna had spent $650 and Irene had spent $110, they had an equal amount of money left. How much money did each of them have at first?
- Irene
- Anna
|
Anna |
Irene |
Before |
5 u |
1 u |
Change |
- $650 |
- $110 |
After |
5 u - $650 |
1 u - $110 |
(a)
The amounts that Anna and Irene had in the end are the same.
5 u - 650 = 1 u - 110
5 u - 1 u = 650 - 110
4 u = 540
1 u = 540 ÷ 4 = 135
Amount that Irene had at first
= 1 u
= $135
(b)
Amount that Anna had at first
= 5 u
= 5 x 135
= $675
Answer(s): (a) $135, (b) $675