Sabrina and Jen went on a tour together. Sabrina brought five times as much money as Jen. After Sabrina had spent $900 and Jen had spent $100, they had an equal amount of money left. How much money did each of them have at first?
- Jen
- Sabrina
|
Sabrina |
Jen |
Before |
5 u |
1 u |
Change |
- $900 |
- $100 |
After |
5 u - $900 |
1 u - $100 |
(a)
The amounts that Sabrina and Jen had in the end are the same.
5 u - 900 = 1 u - 100
5 u - 1 u = 900 - 100
4 u = 800
1 u = 800 ÷ 4 = 200
Amount that Jen had at first
= 1 u
= $200
(b)
Amount that Sabrina had at first
= 5 u
= 5 x 200
= $1000
Answer(s): (a) $200, (b) $1000