Marion, Min and Xuan had a sum of money. The amount of money Marion had was
23 of the amount of money Min had. The ratio of the amount of money Min had to the total amount of money Xuan and Min had was 2: 5. After Xuan gave $96 to Min, she had as much money as Min. How much more money did Xuan have than Marion in the end?
Marion |
Min |
Xuan |
2x2 = 4 u |
3x2 = 6 u |
|
|
2x3 = 6 u |
3x3 = 9 u |
4 u |
6 u |
9 u |
The amount that Min had is the repeated identity. Make the amount that Min had the same. LCM of 3 and 2 is 6.
|
Marion |
Min |
Xuan |
Before |
4 u |
6 u |
9 u |
Change |
No change |
+ 96 |
- 96 |
After |
4 u |
6 u + 96 |
9 u - 96 |
The amount that Xuan and Min had in the end is the same.
9 u - 96 = 6 u + 96
9 u - 6 u = 96 + 96
3 u = 192
1 u = 192 ÷ 3 = 64
Amount that Xuan had more than Marion in the end
= 9 u - 96 - 4 u
= 5 u - 96
= 5 x 64 - 96
= 320 - 96
= $224
Answer(s): $224