Jaslyn had 35 as many pens as Xandra. The sum of the number of pens Jaslyn and Xandra had was the same as the number of pens that Irene had. After trading, Irene gave 30% of her pens to Jaslyn and received 20% of Xandra's pens. After that, Xandra continued to trade and increased her number of pens in the end by 10%, find the ratio of her number of pens to the sum of Jaslyn's and Irene's pens in the end.
| |
Jaslyn |
Irene |
Xandra |
Total |
| Before |
3 u |
8 u |
5 u |
16 u |
| Change 1 |
+ 2.4 u |
- 2.4 u |
|
|
| Change 2 |
|
+ 1 u |
- 1 u |
|
| After 1 |
5.4 u |
6.6 u |
4 u |
|
| Change 3 |
- 0.4 u |
+ 0.4 u |
|
| After 2 |
11.6 u |
4.4 u |
16 u |
Total number of pens that Jaslyn and Xandra had at first
= 3 u + 5 u
= 8 u
Number of pens that Irene had at first = 8 u
Number of pens that Irene gave to Jaslyn
= 30% x 8 u
=
30100 x 3 u
= 2.4 u
Number of pens that Irene received from Xandra
= 20% x 5 u
=
20100 x 5 u
= 1 u
Number of pens that Xandra increased by when she continued to trade
= 10% x 4 u
=
10100 x 4 u
= 0.4 u
Number of pens that Jaslyn and Irene had in the end
= 5.4 u + 6.6 u - 0.4 u
= 11.6 u
In the end
Xandra : Jaslyn and Irene
4.4 : 11.6
440 : 1160
11 : 29
Answer(s): 11 : 29
