Xuan and Gabby went shopping with a total of $270. After Xuan spent
45 of her money and Gabby spent $50, the ratio of Gabby's money became 5 times as much as Xuan's money. Find the ratio of Xuan's money to Gabby's money at first.
| |
Xuan |
Gabby |
| Before |
5 u |
5 u + 50 |
| Change |
- 4 u |
- 50 |
| After |
1 u |
|
| Comparing between Xuan and Gabby in the end |
1 u |
5 u |
Total amount that Xuan and Gabby had at first
= 5 u + 5 u + 50
= 10 u + 50
10 u + 50 = 270
5 u + 4 u = 270 - 50
10 u = 220
1 u = 220 ÷ 10 = 22
Amount that Xuan had at first
= 5 u
= 5 x 22
= $110
Amount that Gabby had at first
= 270 - 110
= $160
At first
Xuan : Gabby
110 : 160
11 : 16
Answer(s): 11 : 16
