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