Pamela and Fanny went shopping with a total of $390. After Pamela spent
45 of her money and Fanny spent $60, the ratio of Fanny's money became 5 times as much as Pamela's money. Find the ratio of Pamela's money to Fanny's money at first.
|
Pamela |
Fanny |
Before |
5 u |
5 u + 60 |
Change |
- 4 u |
- 60 |
After |
1 u |
|
Comparing between Pamela and Fanny in the end |
1 u |
5 u |
Total amount that Pamela and Fanny had at first
= 5 u + 5 u + 60
= 10 u + 60
10 u + 60 = 390
5 u + 4 u = 390 - 60
10 u = 330
1 u = 330 ÷ 10 = 33
Amount that Pamela had at first
= 5 u
= 5 x 33
= $165
Amount that Fanny had at first
= 390 - 165
= $225
At first
Pamela : Fanny
165 : 225
11 : 15
Answer(s): 11 : 15