Dana and Penelope went shopping with a total of $350. After Dana spent
56 of her money and Penelope spent $75, the ratio of Penelope's money became 5 times as much as Dana's money. Find the ratio of Dana's money to Penelope's money at first.
| |
Dana |
Penelope |
| Before |
6 u |
5 u + 75 |
| Change |
- 5 u |
- 75 |
| After |
1 u |
|
| Comparing between Dana and Penelope in the end |
1 u |
5 u |
Total amount that Dana and Penelope had at first
= 6 u + 5 u + 75
= 11 u + 75
11 u + 75 = 350
6 u + 5 u = 350 - 75
11 u = 275
1 u = 275 ÷ 11 = 25
Amount that Dana had at first
= 6 u
= 6 x 25
= $150
Amount that Penelope had at first
= 350 - 150
= $200
At first
Dana : Penelope
150 : 200
3 : 4
Answer(s): 3 : 4
