Fiona had 35 as many stickers as Eva. The sum of the number of stickers Fiona and Eva had was the same as the number of stickers that Shannon had. After trading, Shannon gave 20% of her stickers to Fiona and received 40% of Eva's stickers. After that, Eva 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 Fiona's and Shannon's stickers in the end.
| |
Fiona |
Shannon |
Eva |
Total |
| Before |
3 u |
8 u |
5 u |
16 u |
| Change 1 |
+ 1.6 u |
- 1.6 u |
|
|
| Change 2 |
|
+ 2 u |
- 2 u |
|
| After 1 |
4.6 u |
8.4 u |
3 u |
|
| Change 3 |
- 0.6 u |
+ 0.6 u |
|
| After 2 |
12.4 u |
3.6 u |
16 u |
Total number of stickers that Fiona and Eva had at first
= 3 u + 5 u
= 8 u
Number of stickers that Shannon had at first = 8 u
Number of stickers that Shannon gave to Fiona
= 20% x 8 u
=
20100 x 3 u
= 1.6 u
Number of stickers that Shannon received from Eva
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of stickers that Eva increased by when she continued to trade
= 20% x 3 u
=
20100 x 3 u
= 0.6 u
Number of stickers that Fiona and Shannon had in the end
= 4.6 u + 8.4 u - 0.6 u
= 12.4 u
In the end
Eva : Fiona and Shannon
3.6 : 12.4
360 : 1240
9 : 31
Answer(s): 9 : 31
