60% of the mini cupcakes in Packet G were apricot mini cupcakes and the rest were cranberry mini cupcakes. Packet H had 25% more apricot mini cupcakes than Packet G and twice as many mini cupcakes than the total number of mini cupcakes in Packet G. Find the percentage of the cranberry mini cupcakes in Packet H that would need to be transferred into Packet G, so that there were an equal number of apricot and cranberry mini cupcakes in Packet G.
|
Packet G |
Packet H |
|
Apricot |
Cranberry |
Apricot |
Cranberry |
|
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 mini cupcakes in Packet G
= 3 u + 2 u
= 5 u
Total number of mini cupcakes in Packet H
= 2 x 5 u
= 10 u
Number of apricot mini cupcakes in Packet H
= 125% x 3 u
=
125100 x 3 u
= 3.75 u
Number of apricot mini cupcakes in Packet H
= 10 u - 3.75 u
= 6.25 u
Number of cranberry mini cupcakes to be transferred from Packet H to Packet G
= 3 u - 2 u
= 1 u
Percentage of mini cupcakes to be transferred from Packet H
=
16.25 x 100%
= 16%
Answer(s): 16%