Jane and Fanny went on a tour together. Jane brought five times as much money as Fanny. After Jane had spent $580 and Fanny had spent $100, they had an equal amount of money left. How much money did each of them have at first?
- Fanny
- Jane
|
Jane |
Fanny |
Before |
5 u |
1 u |
Change |
- $580 |
- $100 |
After |
5 u - $580 |
1 u - $100 |
(a)
The amounts that Jane and Fanny had in the end are the same.
5 u - 580 = 1 u - 100
5 u - 1 u = 580 - 100
4 u = 480
1 u = 480 ÷ 4 = 120
Amount that Fanny had at first
= 1 u
= $120
(b)
Amount that Jane had at first
= 5 u
= 5 x 120
= $600
Answer(s): (a) $120, (b) $600