Xandra and Betty went shopping with a total of $550. After Xandra spent
56 of her money and Betty spent $55, the ratio of Betty's money became 3 times as much as Xandra's money. Find the ratio of Xandra's money to Betty's money at first.
| |
Xandra |
Betty |
| Before |
6 u |
3 u + 55 |
| Change |
- 5 u |
- 55 |
| After |
1 u |
|
| Comparing between Xandra and Betty in the end |
1 u |
3 u |
Total amount that Xandra and Betty had at first
= 6 u + 3 u + 55
= 9 u + 55
9 u + 55 = 550
6 u + 5 u = 550 - 55
9 u = 495
1 u = 495 ÷ 9 = 55
Amount that Xandra had at first
= 6 u
= 6 x 55
= $330
Amount that Betty had at first
= 550 - 330
= $220
At first
Xandra : Betty
330 : 220
3 : 2
Answer(s): 3 : 2
