Ivory had 45 as many stickers as Eva. The sum of the number of stickers Ivory and Eva had was the same as the number of stickers that Roshel had. After trading, Roshel gave 10% of her stickers to Ivory and received 40% of Eva's stickers. After that, Eva 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 Ivory's and Roshel's stickers in the end.
| |
Ivory |
Roshel |
Eva |
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 Ivory and Eva had at first
= 4 u + 5 u
= 9 u
Number of stickers that Roshel had at first = 9 u
Number of stickers that Roshel gave to Ivory
= 10% x 9 u
=
10100 x 4 u
= 0.9 u
Number of stickers that Roshel 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
= 30% x 3 u
=
30100 x 3 u
= 0.9 u
Number of stickers that Ivory and Roshel had in the end
= 4.9 u + 10.1 u - 0.9 u
= 14.1 u
In the end
Eva : Ivory and Roshel
3.9 : 14.1
390 : 1410
13 : 47
Answer(s): 13 : 47
