Jaslyn had 45 as many buttons as Lynn. The sum of the number of buttons Jaslyn and Lynn had was the same as the number of buttons that Risa had. After trading, Risa gave 10% of her buttons to Jaslyn and received 40% of Lynn's buttons. After that, Lynn continued to trade and increased her number of buttons in the end by 10%, find the ratio of her number of buttons to the sum of Jaslyn's and Risa's buttons in the end.
| |
Jaslyn |
Risa |
Lynn |
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 |
- 0.3 u |
+ 0.3 u |
|
| After 2 |
14.7 u |
3.3 u |
18 u |
Total number of buttons that Jaslyn and Lynn had at first
= 4 u + 5 u
= 9 u
Number of buttons that Risa had at first = 9 u
Number of buttons that Risa gave to Jaslyn
= 10% x 9 u
=
10100 x 4 u
= 0.9 u
Number of buttons that Risa received from Lynn
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of buttons that Lynn increased by when she continued to trade
= 10% x 3 u
=
10100 x 3 u
= 0.3 u
Number of buttons that Jaslyn and Risa had in the end
= 4.9 u + 10.1 u - 0.3 u
= 14.7 u
In the end
Lynn : Jaslyn and Risa
3.3 : 14.7
330 : 1470
11 : 49
Answer(s): 11 : 49
