Xuan and Kimberly went shopping with a total of $220. After Xuan spent
34 of her money and Kimberly spent $80, the ratio of Kimberly's money became 3 times as much as Xuan's money. Find the ratio of Xuan's money to Kimberly's money at first.
| |
Xuan |
Kimberly |
| Before |
4 u |
3 u + 80 |
| Change |
- 3 u |
- 80 |
| After |
1 u |
|
| Comparing between Xuan and Kimberly in the end |
1 u |
3 u |
Total amount that Xuan and Kimberly had at first
= 4 u + 3 u + 80
= 7 u + 80
7 u + 80 = 220
4 u + 3 u = 220 - 80
7 u = 140
1 u = 140 ÷ 7 = 20
Amount that Xuan had at first
= 4 u
= 4 x 20
= $80
Amount that Kimberly had at first
= 220 - 80
= $140
At first
Xuan : Kimberly
80 : 140
4 : 7
Answer(s): 4 : 7
