Gabby and Winnie went shopping with a total of $210. After Gabby spent
45 of her money and Winnie spent $42, the ratio of Winnie's money became 3 times as much as Gabby's money. Find the ratio of Gabby's money to Winnie's money at first.
|
Gabby |
Winnie |
Before |
5 u |
3 u + 42 |
Change |
- 4 u |
- 42 |
After |
1 u |
|
Comparing between Gabby and Winnie in the end |
1 u |
3 u |
Total amount that Gabby and Winnie had at first
= 5 u + 3 u + 42
= 8 u + 42
8 u + 42 = 210
5 u + 4 u = 210 - 42
8 u = 168
1 u = 168 ÷ 8 = 21
Amount that Gabby had at first
= 5 u
= 5 x 21
= $105
Amount that Winnie had at first
= 210 - 105
= $105
At first
Gabby : Winnie
105 : 105
1 : 1
Answer(s): 1 : 1