Vanessa, Gabby and Winnie had a sum of money. The amount of money Vanessa had was
34 of the amount of money Gabby had. The ratio of the amount of money Gabby had to the total amount of money Winnie and Gabby had was 2: 7. After Winnie gave $57 to Gabby, she had as much money as Gabby. How much more money did Winnie have than Vanessa in the end?
Vanessa |
Gabby |
Winnie |
3x1 = 3 u |
4x1 = 4 u |
|
|
2x2 = 4 u |
5x2 = 10 u |
3 u |
4 u |
10 u |
The amount that Gabby had is the repeated identity. Make the amount that Gabby had the same. LCM of 4 and 2 is 4.
|
Vanessa |
Gabby |
Winnie |
Before |
3 u |
4 u |
10 u |
Change |
No change |
+ 57 |
- 57 |
After |
3 u |
4 u + 57 |
10 u - 57 |
The amount that Winnie and Gabby had in the end is the same.
10 u - 57 = 4 u + 57
10 u - 4 u = 57 + 57
6 u = 114
1 u = 114 ÷ 6 = 19
Amount that Winnie had more than Vanessa in the end
= 10 u - 57 - 3 u
= 7 u - 57
= 7 x 19 - 57
= 133 - 57
= $76
Answer(s): $76