Gwen and Sabrina went shopping with a total of $344. After Gwen spent
45 of her money and Sabrina spent $24, the ratio of Sabrina's money became 3 times as much as Gwen's money. Find the ratio of Gwen's money to Sabrina's money at first.
| |
Gwen |
Sabrina |
| Before |
5 u |
3 u + 24 |
| Change |
- 4 u |
- 24 |
| After |
1 u |
|
| Comparing between Gwen and Sabrina in the end |
1 u |
3 u |
Total amount that Gwen and Sabrina had at first
= 5 u + 3 u + 24
= 8 u + 24
8 u + 24 = 344
5 u + 4 u = 344 - 24
8 u = 320
1 u = 320 ÷ 8 = 40
Amount that Gwen had at first
= 5 u
= 5 x 40
= $200
Amount that Sabrina had at first
= 344 - 200
= $144
At first
Gwen : Sabrina
200 : 144
25 : 18
Answer(s): 25 : 18
