Winnie, Yen and Eva had a sum of money. The amount of money Winnie had was
34 of the amount of money Yen had. The ratio of the amount of money Yen had to the total amount of money Eva and Yen had was 2: 5. After Eva gave $43 to Yen, she had as much money as Yen. How much more money did Eva have than Winnie in the end?
| Winnie |
Yen |
Eva |
3x1 =
3 u |
4x1 =
4 u |
|
| |
2x2 =
4 u |
3x2 =
6 u |
| 3 u |
4 u |
6 u |
The amount that Yen had is the repeated identity. Make the amount that Yen had the same. LCM of 4 and 2 is 4.
| |
Winnie |
Yen |
Eva |
| Before |
3 u |
4 u |
6 u |
| Change |
No change |
+ 43 |
- 43 |
| After |
3 u |
4 u + 43 |
6 u - 43 |
The amount that Eva and Yen had in the end is the same.
6 u - 43 = 4 u + 43
6 u - 4 u = 43 + 43
2 u = 86
1 u = 86 ÷ 2 = 43
Amount that Eva had more than Winnie in the end
= 6 u - 43 - 3 u
= 3 u - 43
= 3 x 43 - 43
= 129 - 43
= $86
Answer(s): $86
