Diana had 45 as many stickers as Roshel. The sum of the number of stickers Diana and Roshel had was the same as the number of stickers that Cindy had. After trading, Cindy gave 30% of her stickers to Diana and received 40% of Roshel's stickers. After that, Roshel continued to trade and increased her number of stickers in the end by 20%, find the ratio of her number of stickers to the sum of Diana's and Cindy's stickers in the end.
|
Diana |
Cindy |
Roshel |
Total |
Before |
4 u |
9 u |
5 u |
18 u |
Change 1 |
+ 2.7 u |
- 2.7 u |
|
|
Change 2 |
|
+ 2 u |
- 2 u |
|
After 1 |
6.7 u |
8.3 u |
3 u |
|
Change 3 |
- 0.6 u |
+ 0.6 u |
|
After 2 |
14.4 u |
3.6 u |
18 u |
Total number of stickers that Diana and Roshel had at first
= 4 u + 5 u
= 9 u
Number of stickers that Cindy had at first = 9 u
Number of stickers that Cindy gave to Diana
= 30% x 9 u
=
30100 x 4 u
= 2.7 u
Number of stickers that Cindy received from Roshel
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of stickers that Roshel increased by when she continued to trade
= 20% x 3 u
=
20100 x 3 u
= 0.6 u
Number of stickers that Diana and Cindy had in the end
= 6.7 u + 8.3 u - 0.6 u
= 14.4 u
In the end
Roshel : Diana and Cindy
3.6 : 14.4
360 : 1440
1 : 4
Answer(s): 1 : 4