Xuan and Gwen went shopping with a total of $270. After Xuan spent
56 of her money and Gwen spent $70, the ratio of Gwen's money became 4 times as much as Xuan's money. Find the ratio of Xuan's money to Gwen's money at first.
| |
Xuan |
Gwen |
| Before |
6 u |
4 u + 70 |
| Change |
- 5 u |
- 70 |
| After |
1 u |
|
| Comparing between Xuan and Gwen in the end |
1 u |
4 u |
Total amount that Xuan and Gwen had at first
= 6 u + 4 u + 70
= 10 u + 70
10 u + 70 = 270
6 u + 5 u = 270 - 70
10 u = 200
1 u = 200 ÷ 10 = 20
Amount that Xuan had at first
= 6 u
= 6 x 20
= $120
Amount that Gwen had at first
= 270 - 120
= $150
At first
Xuan : Gwen
120 : 150
4 : 5
Answer(s): 4 : 5
