Xuan and Diana went shopping with a total of $280. After Xuan spent
45 of her money and Diana spent $91, the ratio of Diana's money became 4 times as much as Xuan's money. Find the ratio of Xuan's money to Diana's money at first.
| |
Xuan |
Diana |
| Before |
5 u |
4 u + 91 |
| Change |
- 4 u |
- 91 |
| After |
1 u |
|
| Comparing between Xuan and Diana in the end |
1 u |
4 u |
Total amount that Xuan and Diana had at first
= 5 u + 4 u + 91
= 9 u + 91
9 u + 91 = 280
5 u + 4 u = 280 - 91
9 u = 189
1 u = 189 ÷ 9 = 21
Amount that Xuan had at first
= 5 u
= 5 x 21
= $105
Amount that Diana had at first
= 280 - 105
= $175
At first
Xuan : Diana
105 : 175
3 : 5
Answer(s): 3 : 5
