60% of the caramel apples in Packet Y were cranberry caramel apples and the rest were apricot caramel apples. Packet Z had 25% more cranberry caramel apples than Packet Y and twice as many caramel apples than the total number of caramel apples in Packet Y. Find the percentage of the apricot caramel apples in Packet Z that would need to be transferred into Packet Y, so that there were an equal number of cranberry and apricot caramel apples in Packet Y.
|
Packet Y |
Packet Z |
|
Cranberry |
Apricot |
Cranberry |
Apricot |
|
5 u |
10 u |
Before |
3 u |
2 u |
3.75 u |
6.25 u |
Change |
|
+ 1 u |
|
- 1 u |
After |
3 u |
3 u |
3.75 u |
5.25 u |
60% =
60100 =
35 100 %+ 25% = 125%
Total number of caramel apples in Packet Y
= 3 u + 2 u
= 5 u
Total number of caramel apples in Packet Z
= 2 x 5 u
= 10 u
Number of cranberry caramel apples in Packet Z
= 125% x 3 u
=
125100 x 3 u
= 3.75 u
Number of cranberry caramel apples in Packet Z
= 10 u - 3.75 u
= 6.25 u
Number of apricot caramel apples to be transferred from Packet Z to Packet Y
= 3 u - 2 u
= 1 u
Percentage of caramel apples to be transferred from Packet Z
=
16.25 x 100%
= 16%
Answer(s): 16%