Eva, Jean and Min had a sum of money. The amount of money Eva had was
25 of the amount of money Jean had. The ratio of the amount of money Jean had to the total amount of money Min and Jean had was 2: 5. After Min gave $35 to Jean, she had as much money as Jean. How much more money did Min have than Eva in the end?
Eva |
Jean |
Min |
2x2 = 4 u |
5x2 = 10 u |
|
|
2x5 = 10 u |
3x5 = 15 u |
4 u |
10 u |
15 u |
The amount that Jean had is the repeated identity. Make the amount that Jean had the same. LCM of 5 and 2 is 10.
|
Eva |
Jean |
Min |
Before |
4 u |
10 u |
15 u |
Change |
No change |
+ 35 |
- 35 |
After |
4 u |
10 u + 35 |
15 u - 35 |
The amount that Min and Jean had in the end is the same.
15 u - 35 = 10 u + 35
15 u - 10 u = 35 + 35
5 u = 70
1 u = 70 ÷ 5 = 14
Amount that Min had more than Eva in the end
= 15 u - 35 - 4 u
= 11 u - 35
= 11 x 14 - 35
= 154 - 35
= $119
Answer(s): $119