70% of the caramel apples in Packet W were vanilla caramel apples and the rest were cherry caramel apples. Packet X had 25% more vanilla caramel apples than Packet W and four times as many caramel apples than the total number of caramel apples in Packet W. Find the percentage of the cherry caramel apples in Packet X that would need to be transferred into Packet W, so that there were an equal number of vanilla and cherry caramel apples in Packet W.
|
Packet W |
Packet X |
|
Vanilla |
Cherry |
Vanilla |
Cherry |
|
10 u |
40 u |
Before |
7 u |
3 u |
8.75 u |
31.25 u |
Change |
|
+ 4 u |
|
- 4 u |
After |
7 u |
7 u |
8.75 u |
27.25 u |
70% =
70100 =
710 100 %+ 25% = 125%
Total number of caramel apples in Packet W
= 7 u + 3 u
= 10 u
Total number of caramel apples in Packet X
= 4 x 10 u
= 40 u
Number of vanilla caramel apples in Packet X
= 125% x 7 u
=
125100 x 7 u
= 8.75 u
Number of vanilla caramel apples in Packet X
= 40 u - 8.75 u
= 31.25 u
Number of cherry caramel apples to be transferred from Packet X to Packet W
= 7 u - 3 u
= 4 u
Percentage of caramel apples to be transferred from Packet X
=
431.25 x 100%
= 12.8%
Answer(s): 12.8%