Marion had 45 as many stamps as Lynn. The sum of the number of stamps Marion and Lynn had was the same as the number of stamps that Raeann had. After trading, Raeann gave 30% of her stamps to Marion and received 20% of Lynn's stamps. After that, Lynn continued to trade and increased her number of stamps in the end by 20%, find the ratio of her number of stamps to the sum of Marion's and Raeann's stamps in the end.
| |
Marion |
Raeann |
Lynn |
Total |
| Before |
4 u |
9 u |
5 u |
18 u |
| Change 1 |
+ 2.7 u |
- 2.7 u |
|
|
| Change 2 |
|
+ 1 u |
- 1 u |
|
| After 1 |
6.7 u |
7.3 u |
4 u |
|
| Change 3 |
- 0.8 u |
+ 0.8 u |
|
| After 2 |
13.2 u |
4.8 u |
18 u |
Total number of stamps that Marion and Lynn had at first
= 4 u + 5 u
= 9 u
Number of stamps that Raeann had at first = 9 u
Number of stamps that Raeann gave to Marion
= 30% x 9 u
=
30100 x 4 u
= 2.7 u
Number of stamps that Raeann received from Lynn
= 20% x 5 u
=
20100 x 5 u
= 1 u
Number of stamps that Lynn increased by when she continued to trade
= 20% x 4 u
=
20100 x 4 u
= 0.8 u
Number of stamps that Marion and Raeann had in the end
= 6.7 u + 7.3 u - 0.8 u
= 13.2 u
In the end
Lynn : Marion and Raeann
4.8 : 13.2
480 : 1320
4 : 11
Answer(s): 4 : 11
