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