Erika had 45 as many stamps as Jade. The sum of the number of stamps Erika and Jade had was the same as the number of stamps that Jaslyn had. After trading, Jaslyn gave 10% of her stamps to Erika and received 40% of Jade's stamps. After that, Jade 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 Erika's and Jaslyn's stamps in the end.
| |
Erika |
Jaslyn |
Jade |
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 |
- 0.6 u |
+ 0.6 u |
|
| After 2 |
14.4 u |
3.6 u |
18 u |
Total number of stamps that Erika and Jade had at first
= 4 u + 5 u
= 9 u
Number of stamps that Jaslyn had at first = 9 u
Number of stamps that Jaslyn gave to Erika
= 10% x 9 u
=
10100 x 4 u
= 0.9 u
Number of stamps that Jaslyn received from Jade
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of stamps that Jade increased by when she continued to trade
= 20% x 3 u
=
20100 x 3 u
= 0.6 u
Number of stamps that Erika and Jaslyn had in the end
= 4.9 u + 10.1 u - 0.6 u
= 14.4 u
In the end
Jade : Erika and Jaslyn
3.6 : 14.4
360 : 1440
1 : 4
Answer(s): 1 : 4
