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