60% of the sweets in Packet G were cherry sweets and the rest were vanilla sweets. Packet H had 25% more cherry sweets than Packet G and twice as many sweets than the total number of sweets in Packet G. Find the percentage of the vanilla sweets in Packet H that would need to be transferred into Packet G, so that there were an equal number of cherry and vanilla sweets in Packet G.
|
Packet G |
Packet H |
|
Cherry |
Vanilla |
Cherry |
Vanilla |
|
5 u |
10 u |
Before |
3 u |
2 u |
3.75 u |
6.25 u |
Change |
|
+ 1 u |
|
- 1 u |
After |
3 u |
3 u |
3.75 u |
5.25 u |
60% =
60100 =
35 100 %+ 25% = 125%
Total number of sweets in Packet G
= 3 u + 2 u
= 5 u
Total number of sweets in Packet H
= 2 x 5 u
= 10 u
Number of cherry sweets in Packet H
= 125% x 3 u
=
125100 x 3 u
= 3.75 u
Number of cherry sweets in Packet H
= 10 u - 3.75 u
= 6.25 u
Number of vanilla sweets to be transferred from Packet H to Packet G
= 3 u - 2 u
= 1 u
Percentage of sweets to be transferred from Packet H
=
16.25 x 100%
= 16%
Answer(s): 16%