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