Xuan and Kathy went shopping with a total of $560. After Xuan spent
34 of her money and Kathy spent $65, the ratio of Kathy's money became 5 times as much as Xuan's money. Find the ratio of Xuan's money to Kathy's money at first.
| |
Xuan |
Kathy |
| Before |
4 u |
5 u + 65 |
| Change |
- 3 u |
- 65 |
| After |
1 u |
|
| Comparing between Xuan and Kathy in the end |
1 u |
5 u |
Total amount that Xuan and Kathy had at first
= 4 u + 5 u + 65
= 9 u + 65
9 u + 65 = 560
4 u + 3 u = 560 - 65
9 u = 495
1 u = 495 ÷ 9 = 55
Amount that Xuan had at first
= 4 u
= 4 x 55
= $220
Amount that Kathy had at first
= 560 - 220
= $340
At first
Xuan : Kathy
220 : 340
11 : 17
Answer(s): 11 : 17
