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