Marion, Winnie and Cindy had a sum of money. The amount of money Marion had was
35 of the amount of money Winnie had. The ratio of the amount of money Winnie had to the total amount of money Cindy and Winnie had was 2: 5. After Cindy gave $10 to Winnie, she had as much money as Winnie. How much more money did Cindy have than Marion in the end?
Marion |
Winnie |
Cindy |
3x2 = 6 u |
5x2 = 10 u |
|
|
2x5 = 10 u |
3x5 = 15 u |
6 u |
10 u |
15 u |
The amount that Winnie had is the repeated identity. Make the amount that Winnie had the same. LCM of 5 and 2 is 10.
|
Marion |
Winnie |
Cindy |
Before |
6 u |
10 u |
15 u |
Change |
No change |
+ 10 |
- 10 |
After |
6 u |
10 u + 10 |
15 u - 10 |
The amount that Cindy and Winnie had in the end is the same.
15 u - 10 = 10 u + 10
15 u - 10 u = 10 + 10
5 u = 20
1 u = 20 ÷ 5 = 4
Amount that Cindy had more than Marion in the end
= 15 u - 10 - 6 u
= 9 u - 10
= 9 x 4 - 10
= 36 - 10
= $26
Answer(s): $26