70% of the turkish delights in Packet P were cherry turkish delights and the rest were apple turkish delights. Packet Q had 25% more cherry turkish delights than Packet P and four times as many turkish delights than the total number of turkish delights in Packet P. Find the percentage of the apple turkish delights in Packet Q that would need to be transferred into Packet P, so that there were an equal number of cherry and apple turkish delights in Packet P.
|
Packet P |
Packet Q |
|
Cherry |
Apple |
Cherry |
Apple |
|
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 turkish delights in Packet P
= 7 u + 3 u
= 10 u
Total number of turkish delights in Packet Q
= 4 x 10 u
= 40 u
Number of cherry turkish delights in Packet Q
= 125% x 7 u
=
125100 x 7 u
= 8.75 u
Number of cherry turkish delights in Packet Q
= 40 u - 8.75 u
= 31.25 u
Number of apple turkish delights to be transferred from Packet Q to Packet P
= 7 u - 3 u
= 4 u
Percentage of turkish delights to be transferred from Packet Q
=
431.25 x 100%
= 12.8%
Answer(s): 12.8%