60% of the mochi balls in Packet P were apple mochi balls and the rest were chocolate chip mochi balls. Packet Q had 25% more apple mochi balls than Packet P and twice as many mochi balls than the total number of mochi balls in Packet P. Find the percentage of the chocolate chip mochi balls in Packet Q that would need to be transferred into Packet P, so that there were an equal number of apple and chocolate chip mochi balls in Packet P.
|
Packet P |
Packet Q |
|
Apple |
Chocolate Chip |
Apple |
Chocolate Chip |
|
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 mochi balls in Packet P
= 3 u + 2 u
= 5 u
Total number of mochi balls in Packet Q
= 2 x 5 u
= 10 u
Number of apple mochi balls in Packet Q
= 125% x 3 u
=
125100 x 3 u
= 3.75 u
Number of apple mochi balls in Packet Q
= 10 u - 3.75 u
= 6.25 u
Number of chocolate chip mochi balls to be transferred from Packet Q to Packet P
= 3 u - 2 u
= 1 u
Percentage of mochi balls to be transferred from Packet Q
=
16.25 x 100%
= 16%
Answer(s): 16%