Sabrina and Dana went shopping with a total of $660. After Sabrina spent
45 of her money and Dana spent $84, the ratio of Dana's money became 3 times as much as Sabrina's money. Find the ratio of Sabrina's money to Dana's money at first.
|
Sabrina |
Dana |
Before |
5 u |
3 u + 84 |
Change |
- 4 u |
- 84 |
After |
1 u |
|
Comparing between Sabrina and Dana in the end |
1 u |
3 u |
Total amount that Sabrina and Dana had at first
= 5 u + 3 u + 84
= 8 u + 84
8 u + 84 = 660
5 u + 4 u = 660 - 84
8 u = 576
1 u = 576 ÷ 8 = 72
Amount that Sabrina had at first
= 5 u
= 5 x 72
= $360
Amount that Dana had at first
= 660 - 360
= $300
At first
Sabrina : Dana
360 : 300
6 : 5
Answer(s): 6 : 5