Xandra and Tiffany went shopping with a total of $460. After Xandra spent
34 of her money and Tiffany spent $46, the ratio of Tiffany's money became 5 times as much as Xandra's money. Find the ratio of Xandra's money to Tiffany's money at first.
| |
Xandra |
Tiffany |
| Before |
4 u |
5 u + 46 |
| Change |
- 3 u |
- 46 |
| After |
1 u |
|
| Comparing between Xandra and Tiffany in the end |
1 u |
5 u |
Total amount that Xandra and Tiffany had at first
= 4 u + 5 u + 46
= 9 u + 46
9 u + 46 = 460
4 u + 3 u = 460 - 46
9 u = 414
1 u = 414 ÷ 9 = 46
Amount that Xandra had at first
= 4 u
= 4 x 46
= $184
Amount that Tiffany had at first
= 460 - 184
= $276
At first
Xandra : Tiffany
184 : 276
2 : 3
Answer(s): 2 : 3
