Erika and Zoe went on a tour together. Erika brought five times as much money as Zoe. After Erika had spent $890 and Zoe had spent $130, they had an equal amount of money left. How much money did each of them have at first?
- Zoe
- Erika
|
Erika |
Zoe |
Before |
5 u |
1 u |
Change |
- $890 |
- $130 |
After |
5 u - $890 |
1 u - $130 |
(a)
The amounts that Erika and Zoe had in the end are the same.
5 u - 890 = 1 u - 130
5 u - 1 u = 890 - 130
4 u = 760
1 u = 760 ÷ 4 = 190
Amount that Zoe had at first
= 1 u
= $190
(b)
Amount that Erika had at first
= 5 u
= 5 x 190
= $950
Answer(s): (a) $190, (b) $950