Raeann had 35 as many erasers as Xylia. The sum of the number of erasers Raeann and Xylia had was the same as the number of erasers that Linda had. After trading, Linda gave 20% of her erasers to Raeann and received 20% of Xylia's erasers. After that, Xylia continued to trade and increased her number of erasers in the end by 10%, find the ratio of her number of erasers to the sum of Raeann's and Linda's erasers in the end.
| |
Raeann |
Linda |
Xylia |
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 |
- 0.4 u |
+ 0.4 u |
|
| After 2 |
11.6 u |
4.4 u |
16 u |
Total number of erasers that Raeann and Xylia had at first
= 3 u + 5 u
= 8 u
Number of erasers that Linda had at first = 8 u
Number of erasers that Linda gave to Raeann
= 20% x 8 u
=
20100 x 3 u
= 1.6 u
Number of erasers that Linda received from Xylia
= 20% x 5 u
=
20100 x 5 u
= 1 u
Number of erasers that Xylia increased by when she continued to trade
= 10% x 4 u
=
10100 x 4 u
= 0.4 u
Number of erasers that Raeann and Linda had in the end
= 4.6 u + 7.4 u - 0.4 u
= 11.6 u
In the end
Xylia : Raeann and Linda
4.4 : 11.6
440 : 1160
11 : 29
Answer(s): 11 : 29
