Kathy and Wendy went shopping with a total of $504. After Kathy spent
56 of her money and Wendy spent $36, the ratio of Wendy's money became 3 times as much as Kathy's money. Find the ratio of Kathy's money to Wendy's money at first.
| |
Kathy |
Wendy |
| Before |
6 u |
3 u + 36 |
| Change |
- 5 u |
- 36 |
| After |
1 u |
|
| Comparing between Kathy and Wendy in the end |
1 u |
3 u |
Total amount that Kathy and Wendy had at first
= 6 u + 3 u + 36
= 9 u + 36
9 u + 36 = 504
6 u + 5 u = 504 - 36
9 u = 468
1 u = 468 ÷ 9 = 52
Amount that Kathy had at first
= 6 u
= 6 x 52
= $312
Amount that Wendy had at first
= 504 - 312
= $192
At first
Kathy : Wendy
312 : 192
13 : 8
Answer(s): 13 : 8
