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