60% of the candies in Packet D were chocolate chip candies and the rest were apple candies. Packet E had 25% more chocolate chip candies than Packet D and twice as many candies than the total number of candies in Packet D. Find the percentage of the apple candies in Packet E that would need to be transferred into Packet D, so that there were an equal number of chocolate chip and apple candies in Packet D.
|
Packet D |
Packet E |
|
Chocolate Chip |
Apple |
Chocolate Chip |
Apple |
|
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 candies in Packet D
= 3 u + 2 u
= 5 u
Total number of candies in Packet E
= 2 x 5 u
= 10 u
Number of chocolate chip candies in Packet E
= 125% x 3 u
=
125100 x 3 u
= 3.75 u
Number of chocolate chip candies in Packet E
= 10 u - 3.75 u
= 6.25 u
Number of apple candies to be transferred from Packet E to Packet D
= 3 u - 2 u
= 1 u
Percentage of candies to be transferred from Packet E
=
16.25 x 100%
= 16%
Answer(s): 16%