Roshel had 35 as many beads as Sabrina. The sum of the number of beads Roshel and Sabrina had was the same as the number of beads that Kimberly had. After trading, Kimberly gave 20% of her beads to Roshel and received 20% of Sabrina's beads. After that, Sabrina continued to trade and increased her number of beads in the end by 30%, find the ratio of her number of beads to the sum of Roshel's and Kimberly's beads in the end.
| |
Roshel |
Kimberly |
Sabrina |
Total |
| Before |
3 u |
8 u |
5 u |
16 u |
| Change 1 |
+ 1.6 u |
- 1.6 u |
|
|
| Change 2 |
|
+ 1 u |
- 1 u |
|
| After 1 |
4.6 u |
7.4 u |
4 u |
|
| Change 3 |
- 1.2 u |
+ 1.2 u |
|
| After 2 |
10.8 u |
5.2 u |
16 u |
Total number of beads that Roshel and Sabrina had at first
= 3 u + 5 u
= 8 u
Number of beads that Kimberly had at first = 8 u
Number of beads that Kimberly gave to Roshel
= 20% x 8 u
=
20100 x 3 u
= 1.6 u
Number of beads that Kimberly received from Sabrina
= 20% x 5 u
=
20100 x 5 u
= 1 u
Number of beads that Sabrina increased by when she continued to trade
= 30% x 4 u
=
30100 x 4 u
= 1.2 u
Number of beads that Roshel and Kimberly had in the end
= 4.6 u + 7.4 u - 1.2 u
= 10.8 u
In the end
Sabrina : Roshel and Kimberly
5.2 : 10.8
520 : 1080
13 : 27
Answer(s): 13 : 27
