Xandra, Joelle and Ivory had a sum of money. The amount of money Xandra had was
34 of the amount of money Joelle had. The ratio of the amount of money Joelle had to the total amount of money Ivory and Joelle had was 2: 5. After Ivory gave $97 to Joelle, she had as much money as Joelle. How much more money did Ivory have than Xandra in the end?
Xandra |
Joelle |
Ivory |
3x1 = 3 u |
4x1 = 4 u |
|
|
2x2 = 4 u |
3x2 = 6 u |
3 u |
4 u |
6 u |
The amount that Joelle had is the repeated identity. Make the amount that Joelle had the same. LCM of 4 and 2 is 4.
|
Xandra |
Joelle |
Ivory |
Before |
3 u |
4 u |
6 u |
Change |
No change |
+ 97 |
- 97 |
After |
3 u |
4 u + 97 |
6 u - 97 |
The amount that Ivory and Joelle had in the end is the same.
6 u - 97 = 4 u + 97
6 u - 4 u = 97 + 97
2 u = 194
1 u = 194 ÷ 2 = 97
Amount that Ivory had more than Xandra in the end
= 6 u - 97 - 3 u
= 3 u - 97
= 3 x 97 - 97
= 291 - 97
= $194
Answer(s): $194