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