Gwen and Fanny went shopping with a total of $296. After Gwen spent
34 of her money and Fanny spent $44, the ratio of Fanny's money became 3 times as much as Gwen's money. Find the ratio of Gwen's money to Fanny's money at first.
|
Gwen |
Fanny |
Before |
4 u |
3 u + 44 |
Change |
- 3 u |
- 44 |
After |
1 u |
|
Comparing between Gwen and Fanny in the end |
1 u |
3 u |
Total amount that Gwen and Fanny had at first
= 4 u + 3 u + 44
= 7 u + 44
7 u + 44 = 296
4 u + 3 u = 296 - 44
7 u = 252
1 u = 252 ÷ 7 = 36
Amount that Gwen had at first
= 4 u
= 4 x 36
= $144
Amount that Fanny had at first
= 296 - 144
= $152
At first
Gwen : Fanny
144 : 152
18 : 19
Answer(s): 18 : 19