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