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