70% of the mochi balls in Packet K were cranberry mochi balls and the rest were banana mochi balls. Packet L had 25% more cranberry mochi balls than Packet K and four times as many mochi balls than the total number of mochi balls in Packet K. Find the percentage of the banana mochi balls in Packet L that would need to be transferred into Packet K, so that there were an equal number of cranberry and banana mochi balls in Packet K.
|
Packet K |
Packet L |
|
Cranberry |
Banana |
Cranberry |
Banana |
|
10 u |
40 u |
Before |
7 u |
3 u |
8.75 u |
31.25 u |
Change |
|
+ 4 u |
|
- 4 u |
After |
7 u |
7 u |
8.75 u |
27.25 u |
70% =
70100 =
710 100 %+ 25% = 125%
Total number of mochi balls in Packet K
= 7 u + 3 u
= 10 u
Total number of mochi balls in Packet L
= 4 x 10 u
= 40 u
Number of cranberry mochi balls in Packet L
= 125% x 7 u
=
125100 x 7 u
= 8.75 u
Number of cranberry mochi balls in Packet L
= 40 u - 8.75 u
= 31.25 u
Number of banana mochi balls to be transferred from Packet L to Packet K
= 7 u - 3 u
= 4 u
Percentage of mochi balls to be transferred from Packet L
=
431.25 x 100%
= 12.8%
Answer(s): 12.8%