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