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