Kathy and Julie went shopping with a total of $612. After Kathy spent
56 of her money and Julie spent $54, the ratio of Julie's money became 3 times as much as Kathy's money. Find the ratio of Kathy's money to Julie's money at first.
| |
Kathy |
Julie |
| Before |
6 u |
3 u + 54 |
| Change |
- 5 u |
- 54 |
| After |
1 u |
|
| Comparing between Kathy and Julie in the end |
1 u |
3 u |
Total amount that Kathy and Julie had at first
= 6 u + 3 u + 54
= 9 u + 54
9 u + 54 = 612
6 u + 5 u = 612 - 54
9 u = 558
1 u = 558 ÷ 9 = 62
Amount that Kathy had at first
= 6 u
= 6 x 62
= $372
Amount that Julie had at first
= 612 - 372
= $240
At first
Kathy : Julie
372 : 240
31 : 20
Answer(s): 31 : 20
