Xandra and Irene went shopping with a total of $391. After Xandra spent
34 of her money and Irene spent $69, the ratio of Irene's money became 3 times as much as Xandra's money. Find the ratio of Xandra's money to Irene's money at first.
| |
Xandra |
Irene |
| Before |
4 u |
3 u + 69 |
| Change |
- 3 u |
- 69 |
| After |
1 u |
|
| Comparing between Xandra and Irene in the end |
1 u |
3 u |
Total amount that Xandra and Irene had at first
= 4 u + 3 u + 69
= 7 u + 69
7 u + 69 = 391
4 u + 3 u = 391 - 69
7 u = 322
1 u = 322 ÷ 7 = 46
Amount that Xandra had at first
= 4 u
= 4 x 46
= $184
Amount that Irene had at first
= 391 - 184
= $207
At first
Xandra : Irene
184 : 207
8 : 9
Answer(s): 8 : 9
