Victoria had 45 as many stickers as Abi. The sum of the number of stickers Victoria and Abi had was the same as the number of stickers that Linda had. After trading, Linda gave 30% of her stickers to Victoria and received 10% of Abi's stickers. After that, Abi continued to trade and increased her number of stickers in the end by 20%, find the ratio of her number of stickers to the sum of Victoria's and Linda's stickers in the end.
| |
Victoria |
Linda |
Abi |
Total |
| Before |
4 u |
9 u |
5 u |
18 u |
| Change 1 |
+ 2.7 u |
- 2.7 u |
|
|
| Change 2 |
|
+ 0.5 u |
- 0.5 u |
|
| After 1 |
6.7 u |
6.8 u |
4.5 u |
|
| Change 3 |
- 0.9 u |
+ 0.9 u |
|
| After 2 |
12.6 u |
5.4 u |
18 u |
Total number of stickers that Victoria and Abi had at first
= 4 u + 5 u
= 9 u
Number of stickers that Linda had at first = 9 u
Number of stickers that Linda gave to Victoria
= 30% x 9 u
=
30100 x 4 u
= 2.7 u
Number of stickers that Linda received from Abi
= 10% x 5 u
=
10100 x 5 u
= 0.5 u
Number of stickers that Abi increased by when she continued to trade
= 20% x 4.5 u
=
20100 x 4.5 u
= 0.9 u
Number of stickers that Victoria and Linda had in the end
= 6.7 u + 6.8 u - 0.9 u
= 12.6 u
In the end
Abi : Victoria and Linda
5.4 : 12.6
540 : 1260
3 : 7
Answer(s): 3 : 7
