60% of the lollipops in Packet E were cheese lollipops and the rest were cherry lollipops. Packet F had 25% more cheese lollipops than Packet E and twice as many lollipops than the total number of lollipops in Packet E. Find the percentage of the cherry lollipops in Packet F that would need to be transferred into Packet E, so that there were an equal number of cheese and cherry lollipops in Packet E.
|
Packet E |
Packet F |
|
Cheese |
Cherry |
Cheese |
Cherry |
|
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 lollipops in Packet E
= 3 u + 2 u
= 5 u
Total number of lollipops in Packet F
= 2 x 5 u
= 10 u
Number of cheese lollipops in Packet F
= 125% x 3 u
=
125100 x 3 u
= 3.75 u
Number of cheese lollipops in Packet F
= 10 u - 3.75 u
= 6.25 u
Number of cherry lollipops to be transferred from Packet F to Packet E
= 3 u - 2 u
= 1 u
Percentage of lollipops to be transferred from Packet F
=
16.25 x 100%
= 16%
Answer(s): 16%