Natalie and Xylia went shopping with a total of $288. After Natalie spent
34 of her money and Xylia spent $57, the ratio of Xylia's money became 3 times as much as Natalie's money. Find the ratio of Natalie's money to Xylia's money at first.
| |
Natalie |
Xylia |
| Before |
4 u |
3 u + 57 |
| Change |
- 3 u |
- 57 |
| After |
1 u |
|
| Comparing between Natalie and Xylia in the end |
1 u |
3 u |
Total amount that Natalie and Xylia had at first
= 4 u + 3 u + 57
= 7 u + 57
7 u + 57 = 288
4 u + 3 u = 288 - 57
7 u = 231
1 u = 231 ÷ 7 = 33
Amount that Natalie had at first
= 4 u
= 4 x 33
= $132
Amount that Xylia had at first
= 288 - 132
= $156
At first
Natalie : Xylia
132 : 156
11 : 13
Answer(s): 11 : 13
