Shannon and Xylia went shopping with a total of $308. After Shannon spent
56 of her money and Xylia spent $98, the ratio of Xylia's money became 4 times as much as Shannon's money. Find the ratio of Shannon's money to Xylia's money at first.
| |
Shannon |
Xylia |
| Before |
6 u |
4 u + 98 |
| Change |
- 5 u |
- 98 |
| After |
1 u |
|
| Comparing between Shannon and Xylia in the end |
1 u |
4 u |
Total amount that Shannon and Xylia had at first
= 6 u + 4 u + 98
= 10 u + 98
10 u + 98 = 308
6 u + 5 u = 308 - 98
10 u = 210
1 u = 210 ÷ 10 = 21
Amount that Shannon had at first
= 6 u
= 6 x 21
= $126
Amount that Xylia had at first
= 308 - 126
= $182
At first
Shannon : Xylia
126 : 182
9 : 13
Answer(s): 9 : 13
