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