Lynn had 45 as many stickers as Raeann. The sum of the number of stickers Lynn and Raeann had was the same as the number of stickers that Yen had. After trading, Yen gave 10% of her stickers to Lynn and received 40% of Raeann's stickers. After that, Raeann continued to trade and increased her number of stickers in the end by 30%, find the ratio of her number of stickers to the sum of Lynn's and Yen's stickers in the end.
| |
Lynn |
Yen |
Raeann |
Total |
| Before |
4 u |
9 u |
5 u |
18 u |
| Change 1 |
+ 0.9 u |
- 0.9 u |
|
|
| Change 2 |
|
+ 2 u |
- 2 u |
|
| After 1 |
4.9 u |
10.1 u |
3 u |
|
| Change 3 |
- 0.9 u |
+ 0.9 u |
|
| After 2 |
14.1 u |
3.9 u |
18 u |
Total number of stickers that Lynn and Raeann had at first
= 4 u + 5 u
= 9 u
Number of stickers that Yen had at first = 9 u
Number of stickers that Yen gave to Lynn
= 10% x 9 u
=
10100 x 4 u
= 0.9 u
Number of stickers that Yen received from Raeann
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of stickers that Raeann increased by when she continued to trade
= 30% x 3 u
=
30100 x 3 u
= 0.9 u
Number of stickers that Lynn and Yen had in the end
= 4.9 u + 10.1 u - 0.9 u
= 14.1 u
In the end
Raeann : Lynn and Yen
3.9 : 14.1
390 : 1410
13 : 47
Answer(s): 13 : 47
