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