Cindy had 45 as many coins as Ivory. The sum of the number of coins Cindy and Ivory had was the same as the number of coins that Lynn had. After trading, Lynn gave 30% of her coins to Cindy and received 40% of Ivory's coins. After that, Ivory continued to trade and increased her number of coins in the end by 10%, find the ratio of her number of coins to the sum of Cindy's and Lynn's coins in the end.
| |
Cindy |
Lynn |
Ivory |
Total |
| Before |
4 u |
9 u |
5 u |
18 u |
| Change 1 |
+ 2.7 u |
- 2.7 u |
|
|
| Change 2 |
|
+ 2 u |
- 2 u |
|
| After 1 |
6.7 u |
8.3 u |
3 u |
|
| Change 3 |
- 0.3 u |
+ 0.3 u |
|
| After 2 |
14.7 u |
3.3 u |
18 u |
Total number of coins that Cindy and Ivory had at first
= 4 u + 5 u
= 9 u
Number of coins that Lynn had at first = 9 u
Number of coins that Lynn gave to Cindy
= 30% x 9 u
=
30100 x 4 u
= 2.7 u
Number of coins that Lynn received from Ivory
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of coins that Ivory increased by when she continued to trade
= 10% x 3 u
=
10100 x 3 u
= 0.3 u
Number of coins that Cindy and Lynn had in the end
= 6.7 u + 8.3 u - 0.3 u
= 14.7 u
In the end
Ivory : Cindy and Lynn
3.3 : 14.7
330 : 1470
11 : 49
Answer(s): 11 : 49
