Linda, Wendy and Eva had a sum of money. The amount of money Linda had was
35 of the amount of money Wendy had. The ratio of the amount of money Wendy had to the total amount of money Eva and Wendy had was 3: 8. After Eva gave $25 to Wendy, she had as much money as Wendy. How much more money did Eva have than Linda in the end?
Linda |
Wendy |
Eva |
3x3 = 9 u |
5x3 = 15 u |
|
|
3x5 = 15 u |
5x5 = 25 u |
9 u |
15 u |
25 u |
The amount that Wendy had is the repeated identity. Make the amount that Wendy had the same. LCM of 5 and 3 is 15.
|
Linda |
Wendy |
Eva |
Before |
9 u |
15 u |
25 u |
Change |
No change |
+ 25 |
- 25 |
After |
9 u |
15 u + 25 |
25 u - 25 |
The amount that Eva and Wendy had in the end is the same.
25 u - 25 = 15 u + 25
25 u - 15 u = 25 + 25
10 u = 50
1 u = 50 ÷ 10 = 5
Amount that Eva had more than Linda in the end
= 25 u - 25 - 9 u
= 16 u - 25
= 16 x 5 - 25
= 80 - 25
= $55
Answer(s): $55