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