Xuan and Yen went shopping with a total of $319. After Xuan spent
56 of her money and Yen spent $22, the ratio of Yen's money became 3 times as much as Xuan's money. Find the ratio of Xuan's money to Yen's money at first.
|
Xuan |
Yen |
Before |
6 u |
3 u + 22 |
Change |
- 5 u |
- 22 |
After |
1 u |
|
Comparing between Xuan and Yen in the end |
1 u |
3 u |
Total amount that Xuan and Yen had at first
= 6 u + 3 u + 22
= 9 u + 22
9 u + 22 = 319
6 u + 5 u = 319 - 22
9 u = 297
1 u = 297 ÷ 9 = 33
Amount that Xuan had at first
= 6 u
= 6 x 33
= $198
Amount that Yen had at first
= 319 - 198
= $121
At first
Xuan : Yen
198 : 121
18 : 11
Answer(s): 18 : 11