Erika and Jane went shopping together. Erika brought five times as much money as Jane. After Erika had spent $850 and Jane had spent $130, they had an equal amount of money left. How much money did each of them have at first?
- Jane
- Erika
|
Erika |
Jane |
Before |
5 u |
1 u |
Change |
- $850 |
- $130 |
After |
5 u - $850 |
1 u - $130 |
(a)
The amounts that Erika and Jane had in the end are the same.
5 u - 850 = 1 u - 130
5 u - 1 u = 850 - 130
4 u = 720
1 u = 720 ÷ 4 = 180
Amount that Jane had at first
= 1 u
= $180
(b)
Amount that Erika had at first
= 5 u
= 5 x 180
= $900
Answer(s): (a) $180, (b) $900