Cathy and Xylia went shopping with a total of $540. After Cathy spent
45 of her money and Xylia spent $27, the ratio of Xylia's money became 4 times as much as Cathy's money. Find the ratio of Cathy's money to Xylia's money at first.
| |
Cathy |
Xylia |
| Before |
5 u |
4 u + 27 |
| Change |
- 4 u |
- 27 |
| After |
1 u |
|
| Comparing between Cathy and Xylia in the end |
1 u |
4 u |
Total amount that Cathy and Xylia had at first
= 5 u + 4 u + 27
= 9 u + 27
9 u + 27 = 540
5 u + 4 u = 540 - 27
9 u = 513
1 u = 513 ÷ 9 = 57
Amount that Cathy had at first
= 5 u
= 5 x 57
= $285
Amount that Xylia had at first
= 540 - 285
= $255
At first
Cathy : Xylia
285 : 255
19 : 17
Answer(s): 19 : 17
