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