Mary had 45 as many stickers as Elyse. The sum of the number of stickers Mary and Elyse had was the same as the number of stickers that Kylie had. After trading, Kylie gave 10% of her stickers to Mary and received 20% of Elyse's stickers. After that, Elyse 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 Mary's and Kylie's stickers in the end.
| |
Mary |
Kylie |
Elyse |
Total |
| Before |
4 u |
9 u |
5 u |
18 u |
| Change 1 |
+ 0.9 u |
- 0.9 u |
|
|
| Change 2 |
|
+ 1 u |
- 1 u |
|
| After 1 |
4.9 u |
9.1 u |
4 u |
|
| Change 3 |
- 1.2 u |
+ 1.2 u |
|
| After 2 |
12.8 u |
5.2 u |
18 u |
Total number of stickers that Mary and Elyse had at first
= 4 u + 5 u
= 9 u
Number of stickers that Kylie had at first = 9 u
Number of stickers that Kylie gave to Mary
= 10% x 9 u
=
10100 x 4 u
= 0.9 u
Number of stickers that Kylie received from Elyse
= 20% x 5 u
=
20100 x 5 u
= 1 u
Number of stickers that Elyse increased by when she continued to trade
= 30% x 4 u
=
30100 x 4 u
= 1.2 u
Number of stickers that Mary and Kylie had in the end
= 4.9 u + 9.1 u - 1.2 u
= 12.8 u
In the end
Elyse : Mary and Kylie
5.2 : 12.8
520 : 1280
13 : 32
Answer(s): 13 : 32
