Victoria, Jean and Jaslyn had a sum of money. The amount of money Victoria had was
23 of the amount of money Jean had. The ratio of the amount of money Jean had to the total amount of money Jaslyn and Jean had was 4: 9. After Jaslyn gave $33 to Jean, she had as much money as Jean. How much more money did Jaslyn have than Victoria in the end?
Victoria |
Jean |
Jaslyn |
2x4 = 8 u |
3x4 = 12 u |
|
|
4x3 = 12 u |
5x3 = 15 u |
8 u |
12 u |
15 u |
The amount that Jean had is the repeated identity. Make the amount that Jean had the same. LCM of 3 and 4 is 12.
|
Victoria |
Jean |
Jaslyn |
Before |
8 u |
12 u |
15 u |
Change |
No change |
+ 33 |
- 33 |
After |
8 u |
12 u + 33 |
15 u - 33 |
The amount that Jaslyn and Jean had in the end is the same.
15 u - 33 = 12 u + 33
15 u - 12 u = 33 + 33
3 u = 66
1 u = 66 ÷ 3 = 22
Amount that Jaslyn had more than Victoria in the end
= 15 u - 33 - 8 u
= 7 u - 33
= 7 x 22 - 33
= 154 - 33
= $121
Answer(s): $121