Gwen and Fiona went shopping with a total of $580. After Gwen spent
34 of her money and Fiona spent $90, the ratio of Fiona's money became 3 times as much as Gwen's money. Find the ratio of Gwen's money to Fiona's money at first.
| |
Gwen |
Fiona |
| Before |
4 u |
3 u + 90 |
| Change |
- 3 u |
- 90 |
| After |
1 u |
|
| Comparing between Gwen and Fiona in the end |
1 u |
3 u |
Total amount that Gwen and Fiona had at first
= 4 u + 3 u + 90
= 7 u + 90
7 u + 90 = 580
4 u + 3 u = 580 - 90
7 u = 490
1 u = 490 ÷ 7 = 70
Amount that Gwen had at first
= 4 u
= 4 x 70
= $280
Amount that Fiona had at first
= 580 - 280
= $300
At first
Gwen : Fiona
280 : 300
14 : 15
Answer(s): 14 : 15
