80% of the sweets in Packet G were apple sweets and the rest were apricot sweets. Packet H had 30% more apple sweets than Packet G and twice as many sweets than the total number of sweets in Packet G. Find the percentage of the apricot sweets in Packet H that would need to be transferred into Packet G, so that there were an equal number of apple and apricot sweets in Packet G.
|
Packet G |
Packet H |
|
Apple |
Apricot |
Apple |
Apricot |
|
5 u |
10 u |
Before |
4 u |
1 u |
5.2 u |
4.8 u |
Change |
|
+ 3 u |
|
- 3 u |
After |
4 u |
4 u |
5.2 u |
1.8 u |
80% =
80100 =
45 100 %+ 30% = 130%
Total number of sweets in Packet G
= 4 u + 1 u
= 5 u
Total number of sweets in Packet H
= 2 x 5 u
= 10 u
Number of apple sweets in Packet H
= 130% x 4 u
=
130100 x 4 u
= 5.2 u
Number of apple sweets in Packet H
= 10 u - 5.2 u
= 4.8 u
Number of apricot sweets to be transferred from Packet H to Packet G
= 4 u - 1 u
= 3 u
Percentage of sweets to be transferred from Packet H
=
34.8 x 100%
= 62.5%
Answer(s): 62.5%