Lynn had 45 as many coins as Jaslyn. The sum of the number of coins Lynn and Jaslyn had was the same as the number of coins that Yen had. After trading, Yen gave 10% of her coins to Lynn and received 30% of Jaslyn's coins. After that, Jaslyn 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 Lynn's and Yen's coins in the end.
| |
Lynn |
Yen |
Jaslyn |
Total |
| Before |
4 u |
9 u |
5 u |
18 u |
| Change 1 |
+ 0.9 u |
- 0.9 u |
|
|
| Change 2 |
|
+ 1.5 u |
- 1.5 u |
|
| After 1 |
4.9 u |
9.6 u |
3.5 u |
|
| Change 3 |
- 0.7 u |
+ 0.7 u |
|
| After 2 |
13.8 u |
4.2 u |
18 u |
Total number of coins that Lynn and Jaslyn had at first
= 4 u + 5 u
= 9 u
Number of coins that Yen had at first = 9 u
Number of coins that Yen gave to Lynn
= 10% x 9 u
=
10100 x 4 u
= 0.9 u
Number of coins that Yen received from Jaslyn
= 30% x 5 u
=
30100 x 5 u
= 1.5 u
Number of coins that Jaslyn increased by when she continued to trade
= 20% x 3.5 u
=
20100 x 3.5 u
= 0.7 u
Number of coins that Lynn and Yen had in the end
= 4.9 u + 9.6 u - 0.7 u
= 13.8 u
In the end
Jaslyn : Lynn and Yen
4.2 : 13.8
420 : 1380
7 : 23
Answer(s): 7 : 23
