Kylie had 35 as many coins as Fiona. The sum of the number of coins Kylie and Fiona had was the same as the number of coins that Lynn had. After trading, Lynn gave 20% of her coins to Kylie and received 25% of Fiona's coins. After that, Fiona continued to trade and increased her number of coins in the end by 20%, find the ratio of her number of coins to the sum of Kylie's and Lynn's coins in the end.
| |
Kylie |
Lynn |
Fiona |
Total |
| Before |
3 u |
8 u |
5 u |
16 u |
| Change 1 |
+ 1.6 u |
- 1.6 u |
|
|
| Change 2 |
|
+ 1.25 u |
- 1.25 u |
|
| After 1 |
4.6 u |
7.65 u |
3.75 u |
|
| Change 3 |
- 0.75 u |
+ 0.75 u |
|
| After 2 |
11.5 u |
4.5 u |
16 u |
Total number of coins that Kylie and Fiona had at first
= 3 u + 5 u
= 8 u
Number of coins that Lynn had at first = 8 u
Number of coins that Lynn gave to Kylie
= 20% x 8 u
=
20100 x 3 u
= 1.6 u
Number of coins that Lynn received from Fiona
= 25% x 5 u
=
25100 x 5 u
= 1.25 u
Number of coins that Fiona increased by when she continued to trade
= 20% x 3.75 u
=
20100 x 3.75 u
= 0.75 u
Number of coins that Kylie and Lynn had in the end
= 4.6 u + 7.65 u - 0.75 u
= 11.5 u
In the end
Fiona : Kylie and Lynn
4.5 : 11.5
450 : 1150
9 : 23
Answer(s): 9 : 23
