Kathy and Penelope went shopping with a total of $612. After Kathy spent
56 of her money and Penelope spent $99, the ratio of Penelope's money became 3 times as much as Kathy's money. Find the ratio of Kathy's money to Penelope's money at first.
| |
Kathy |
Penelope |
| Before |
6 u |
3 u + 99 |
| Change |
- 5 u |
- 99 |
| After |
1 u |
|
| Comparing between Kathy and Penelope in the end |
1 u |
3 u |
Total amount that Kathy and Penelope had at first
= 6 u + 3 u + 99
= 9 u + 99
9 u + 99 = 612
6 u + 5 u = 612 - 99
9 u = 513
1 u = 513 ÷ 9 = 57
Amount that Kathy had at first
= 6 u
= 6 x 57
= $342
Amount that Penelope had at first
= 612 - 342
= $270
At first
Kathy : Penelope
342 : 270
19 : 15
Answer(s): 19 : 15
