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