Xuan and Eva went shopping with a total of $684. After Xuan spent
56 of her money and Eva spent $57, the ratio of Eva's money became 5 times as much as Xuan's money. Find the ratio of Xuan's money to Eva's money at first.
| |
Xuan |
Eva |
| Before |
6 u |
5 u + 57 |
| Change |
- 5 u |
- 57 |
| After |
1 u |
|
| Comparing between Xuan and Eva in the end |
1 u |
5 u |
Total amount that Xuan and Eva had at first
= 6 u + 5 u + 57
= 11 u + 57
11 u + 57 = 684
6 u + 5 u = 684 - 57
11 u = 627
1 u = 627 ÷ 11 = 57
Amount that Xuan had at first
= 6 u
= 6 x 57
= $342
Amount that Eva had at first
= 684 - 342
= $342
At first
Xuan : Eva
342 : 342
1 : 1
Answer(s): 1 : 1
