Penelope and Marion went shopping with a total of $609. After Penelope spent
34 of her money and Marion spent $42, the ratio of Marion's money became 5 times as much as Penelope's money. Find the ratio of Penelope's money to Marion's money at first.
| |
Penelope |
Marion |
| Before |
4 u |
5 u + 42 |
| Change |
- 3 u |
- 42 |
| After |
1 u |
|
| Comparing between Penelope and Marion in the end |
1 u |
5 u |
Total amount that Penelope and Marion had at first
= 4 u + 5 u + 42
= 9 u + 42
9 u + 42 = 609
4 u + 3 u = 609 - 42
9 u = 567
1 u = 567 ÷ 9 = 63
Amount that Penelope had at first
= 4 u
= 4 x 63
= $252
Amount that Marion had at first
= 609 - 252
= $357
At first
Penelope : Marion
252 : 357
12 : 17
Answer(s): 12 : 17
