80% of the turkish delights in Packet R were blueberry turkish delights and the rest were vanilla turkish delights. Packet S had 30% more blueberry turkish delights than Packet R and twice as many turkish delights than the total number of turkish delights in Packet R. Find the percentage of the vanilla turkish delights in Packet S that would need to be transferred into Packet R, so that there were an equal number of blueberry and vanilla turkish delights in Packet R.
|
Packet R |
Packet S |
|
Blueberry |
Vanilla |
Blueberry |
Vanilla |
|
5 u |
10 u |
Before |
4 u |
1 u |
5.2 u |
4.8 u |
Change |
|
+ 3 u |
|
- 3 u |
After |
4 u |
4 u |
5.2 u |
1.8 u |
80% =
80100 =
45 100 %+ 30% = 130%
Total number of turkish delights in Packet R
= 4 u + 1 u
= 5 u
Total number of turkish delights in Packet S
= 2 x 5 u
= 10 u
Number of blueberry turkish delights in Packet S
= 130% x 4 u
=
130100 x 4 u
= 5.2 u
Number of blueberry turkish delights in Packet S
= 10 u - 5.2 u
= 4.8 u
Number of vanilla turkish delights to be transferred from Packet S to Packet R
= 4 u - 1 u
= 3 u
Percentage of turkish delights to be transferred from Packet S
=
34.8 x 100%
= 62.5%
Answer(s): 62.5%