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