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